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Finding the Fourth Proportional to 25,909.81, 38,862.15 and 9,269.17

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Solution

The fourth proportional to 25,909.81, 38,862.15 and 9,269.17 is: 13,902.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,909.81 : 38,862.15 = 9,269.17 : x
  2. Step 2: Convert to fraction form
    25,909.81/38,862.15 = 9,269.17/x
  3. Step 3: Cross multiply
    25,909.81x = 38,862.15 × 9,269.17
  4. Step 4: Simplify right side
    25,909.81x = 360,219,874.92
  5. Step 5: Solve for x
    x = 360,219,874.92/25,909.81
  6. Step 6: Final answer
    x = 13,902.84

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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.