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Finding the Fourth Proportional to 25,817.30, 38,725.15 and 7,349.30

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Solution

The fourth proportional to 25,817.30, 38,725.15 and 7,349.30 is: 11,023.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,817.30 : 38,725.15 = 7,349.30 : x
  2. Step 2: Convert to fraction form
    25,817.30/38,725.15 = 7,349.30/x
  3. Step 3: Cross multiply
    25,817.30x = 38,725.15 × 7,349.30
  4. Step 4: Simplify right side
    25,817.30x = 284,602,744.90
  5. Step 5: Solve for x
    x = 284,602,744.90/25,817.30
  6. Step 6: Final answer
    x = 11,023.72

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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.