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Finding the Fourth Proportional to 25,542.34, 38,313.54 and 8,013.52

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Solution

The fourth proportional to 25,542.34, 38,313.54 and 8,013.52 is: 12,020.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,542.34 : 38,313.54 = 8,013.52 : x
  2. Step 2: Convert to fraction form
    25,542.34/38,313.54 = 8,013.52/x
  3. Step 3: Cross multiply
    25,542.34x = 38,313.54 × 8,013.52
  4. Step 4: Simplify right side
    25,542.34x = 307,026,319.06
  5. Step 5: Solve for x
    x = 307,026,319.06/25,542.34
  6. Step 6: Final answer
    x = 12,020.29

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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.