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Finding the Fourth Proportional to 10,285.20, 15,431.40 and 5,022.24

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Solution

The fourth proportional to 10,285.20, 15,431.40 and 5,022.24 is: 7,535.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.20 : 15,431.40 = 5,022.24 : x
  2. Step 2: Convert to fraction form
    10,285.20/15,431.40 = 5,022.24/x
  3. Step 3: Cross multiply
    10,285.20x = 15,431.40 × 5,022.24
  4. Step 4: Simplify right side
    10,285.20x = 77,500,194.34
  5. Step 5: Solve for x
    x = 77,500,194.34/10,285.20
  6. Step 6: Final answer
    x = 7,535.12

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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.