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Finding the Fourth Proportional to 24,142.31, 36,212.25 and 6,612.29

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Solution

The fourth proportional to 24,142.31, 36,212.25 and 6,612.29 is: 9,918.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,142.31 : 36,212.25 = 6,612.29 : x
  2. Step 2: Convert to fraction form
    24,142.31/36,212.25 = 6,612.29/x
  3. Step 3: Cross multiply
    24,142.31x = 36,212.25 × 6,612.29
  4. Step 4: Simplify right side
    24,142.31x = 239,445,898.55
  5. Step 5: Solve for x
    x = 239,445,898.55/24,142.31
  6. Step 6: Final answer
    x = 9,918.10

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