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Finding the Fourth Proportional to 25,572.69, 38,363.17 and 7,562.75

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Solution

The fourth proportional to 25,572.69, 38,363.17 and 7,562.75 is: 11,345.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,572.69 : 38,363.17 = 7,562.75 : x
  2. Step 2: Convert to fraction form
    25,572.69/38,363.17 = 7,562.75/x
  3. Step 3: Cross multiply
    25,572.69x = 38,363.17 × 7,562.75
  4. Step 4: Simplify right side
    25,572.69x = 290,131,063.92
  5. Step 5: Solve for x
    x = 290,131,063.92/25,572.69
  6. Step 6: Final answer
    x = 11,345.35

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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.