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Finding the Fourth Proportional to 25,542.31, 38,313.43 and 8,013.50

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Solution

The fourth proportional to 25,542.31, 38,313.43 and 8,013.50 is: 12,020.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,542.31 : 38,313.43 = 8,013.50 : x
  2. Step 2: Convert to fraction form
    25,542.31/38,313.43 = 8,013.50/x
  3. Step 3: Cross multiply
    25,542.31x = 38,313.43 × 8,013.50
  4. Step 4: Simplify right side
    25,542.31x = 307,024,747.05
  5. Step 5: Solve for x
    x = 307,024,747.05/25,542.31
  6. Step 6: Final answer
    x = 12,020.24

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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.