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Finding the Fourth Proportional to 25,542.66, 38,313.96 and 8,013.84

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Solution

The fourth proportional to 25,542.66, 38,313.96 and 8,013.84 is: 12,020.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,542.66 : 38,313.96 = 8,013.84 : x
  2. Step 2: Convert to fraction form
    25,542.66/38,313.96 = 8,013.84/x
  3. Step 3: Cross multiply
    25,542.66x = 38,313.96 × 8,013.84
  4. Step 4: Simplify right side
    25,542.66x = 307,041,945.21
  5. Step 5: Solve for x
    x = 307,041,945.21/25,542.66
  6. Step 6: Final answer
    x = 12,020.75

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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.