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Finding the Fourth Proportional to 25,729.62, 38,594.43 and 7,261.62

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Solution

The fourth proportional to 25,729.62, 38,594.43 and 7,261.62 is: 10,892.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,729.62 : 38,594.43 = 7,261.62 : x
  2. Step 2: Convert to fraction form
    25,729.62/38,594.43 = 7,261.62/x
  3. Step 3: Cross multiply
    25,729.62x = 38,594.43 × 7,261.62
  4. Step 4: Simplify right side
    25,729.62x = 280,258,084.78
  5. Step 5: Solve for x
    x = 280,258,084.78/25,729.62
  6. Step 6: Final answer
    x = 10,892.43

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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.