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Finding the Fourth Proportional to 16,645, 24,967.50 and 9,714.64

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Solution

The fourth proportional to 16,645, 24,967.50 and 9,714.64 is: 14,571.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,645 : 24,967.50 = 9,714.64 : x
  2. Step 2: Convert to fraction form
    16,645/24,967.50 = 9,714.64/x
  3. Step 3: Cross multiply
    16,645x = 24,967.50 × 9,714.64
  4. Step 4: Simplify right side
    16,645x = 242,550,274.20
  5. Step 5: Solve for x
    x = 242,550,274.20/16,645
  6. Step 6: Final answer
    x = 14,571.96

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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.