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Finding the Fourth Proportional to 25,729.87, 38,594.81 and 7,261.87

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Solution

The fourth proportional to 25,729.87, 38,594.81 and 7,261.87 is: 10,892.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,729.87 : 38,594.81 = 7,261.87 : x
  2. Step 2: Convert to fraction form
    25,729.87/38,594.81 = 7,261.87/x
  3. Step 3: Cross multiply
    25,729.87x = 38,594.81 × 7,261.87
  4. Step 4: Simplify right side
    25,729.87x = 280,270,492.89
  5. Step 5: Solve for x
    x = 280,270,492.89/25,729.87
  6. Step 6: Final answer
    x = 10,892.81

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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.