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Finding the Fourth Proportional to 24,784,714.64, 37,191,622.88 and 10,406,676.80

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Solution

The fourth proportional to 24,784,714.64, 37,191,622.88 and 10,406,676.80 is: 15,616,124.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,784,714.64 : 37,191,622.88 = 10,406,676.80 : x
  2. Step 2: Convert to fraction form
    24,784,714.64/37,191,622.88 = 10,406,676.80/x
  3. Step 3: Cross multiply
    24,784,714.64x = 37,191,622.88 × 10,406,676.80
  4. Step 4: Simplify right side
    24,784,714.64x = 387,041,198,979,645.25
  5. Step 5: Solve for x
    x = 387,041,198,979,645.25/24,784,714.64
  6. Step 6: Final answer
    x = 15,616,124.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.