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Finding the Fourth Proportional to 25,009.68, 37,500.68 and 10,228.97

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Solution

The fourth proportional to 25,009.68, 37,500.68 and 10,228.97 is: 15,337.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,009.68 : 37,500.68 = 10,228.97 : x
  2. Step 2: Convert to fraction form
    25,009.68/37,500.68 = 10,228.97/x
  3. Step 3: Cross multiply
    25,009.68x = 37,500.68 × 10,228.97
  4. Step 4: Simplify right side
    25,009.68x = 383,593,092.05
  5. Step 5: Solve for x
    x = 383,593,092.05/25,009.68
  6. Step 6: Final answer
    x = 15,337.78

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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.