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Finding the Fourth Proportional to 15,471.52, 23,203.56 and 7,143.53

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Solution

The fourth proportional to 15,471.52, 23,203.56 and 7,143.53 is: 10,713.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,471.52 : 23,203.56 = 7,143.53 : x
  2. Step 2: Convert to fraction form
    15,471.52/23,203.56 = 7,143.53/x
  3. Step 3: Cross multiply
    15,471.52x = 23,203.56 × 7,143.53
  4. Step 4: Simplify right side
    15,471.52x = 165,755,358.19
  5. Step 5: Solve for x
    x = 165,755,358.19/15,471.52
  6. Step 6: Final answer
    x = 10,713.58

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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.