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Finding the Fourth Proportional to 24,475.43, 36,714.54 and 6,943.88

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Solution

The fourth proportional to 24,475.43, 36,714.54 and 6,943.88 is: 10,416.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,475.43 : 36,714.54 = 6,943.88 : x
  2. Step 2: Convert to fraction form
    24,475.43/36,714.54 = 6,943.88/x
  3. Step 3: Cross multiply
    24,475.43x = 36,714.54 × 6,943.88
  4. Step 4: Simplify right side
    24,475.43x = 254,941,176.44
  5. Step 5: Solve for x
    x = 254,941,176.44/24,475.43
  6. Step 6: Final answer
    x = 10,416.21

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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.