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Finding the Fourth Proportional to 25,817.31, 38,725.16 and 7,349.31

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Solution

The fourth proportional to 25,817.31, 38,725.16 and 7,349.31 is: 11,023.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,817.31 : 38,725.16 = 7,349.31 : x
  2. Step 2: Convert to fraction form
    25,817.31/38,725.16 = 7,349.31/x
  3. Step 3: Cross multiply
    25,817.31x = 38,725.16 × 7,349.31
  4. Step 4: Simplify right side
    25,817.31x = 284,603,168.89
  5. Step 5: Solve for x
    x = 284,603,168.89/25,817.31
  6. Step 6: Final answer
    x = 11,023.73

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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.