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Finding the Fourth Proportional to 10,224.90, 15,337.31 and 2,829.29

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Solution

The fourth proportional to 10,224.90, 15,337.31 and 2,829.29 is: 4,243.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224.90 : 15,337.31 = 2,829.29 : x
  2. Step 2: Convert to fraction form
    10,224.90/15,337.31 = 2,829.29/x
  3. Step 3: Cross multiply
    10,224.90x = 15,337.31 × 2,829.29
  4. Step 4: Simplify right side
    10,224.90x = 43,393,606.98
  5. Step 5: Solve for x
    x = 43,393,606.98/10,224.90
  6. Step 6: Final answer
    x = 4,243.92

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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.