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Finding the Fourth Proportional to 25,487.89, 38,220.32 and 7,711.69

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Solution

The fourth proportional to 25,487.89, 38,220.32 and 7,711.69 is: 11,564.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,487.89 : 38,220.32 = 7,711.69 : x
  2. Step 2: Convert to fraction form
    25,487.89/38,220.32 = 7,711.69/x
  3. Step 3: Cross multiply
    25,487.89x = 38,220.32 × 7,711.69
  4. Step 4: Simplify right side
    25,487.89x = 294,743,259.54
  5. Step 5: Solve for x
    x = 294,743,259.54/25,487.89
  6. Step 6: Final answer
    x = 11,564.05

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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.