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Finding the Fourth Proportional to 25,180.69, 37,737.01 and 9,589.81

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Solution

The fourth proportional to 25,180.69, 37,737.01 and 9,589.81 is: 14,371.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,180.69 : 37,737.01 = 9,589.81 : x
  2. Step 2: Convert to fraction form
    25,180.69/37,737.01 = 9,589.81/x
  3. Step 3: Cross multiply
    25,180.69x = 37,737.01 × 9,589.81
  4. Step 4: Simplify right side
    25,180.69x = 361,890,755.87
  5. Step 5: Solve for x
    x = 361,890,755.87/25,180.69
  6. Step 6: Final answer
    x = 14,371.76

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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.