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Finding the Fourth Proportional to 25,818.85, 38,729.09 and 9,178.62

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Solution

The fourth proportional to 25,818.85, 38,729.09 and 9,178.62 is: 13,768.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,818.85 : 38,729.09 = 9,178.62 : x
  2. Step 2: Convert to fraction form
    25,818.85/38,729.09 = 9,178.62/x
  3. Step 3: Cross multiply
    25,818.85x = 38,729.09 × 9,178.62
  4. Step 4: Simplify right side
    25,818.85x = 355,479,600.06
  5. Step 5: Solve for x
    x = 355,479,600.06/25,818.85
  6. Step 6: Final answer
    x = 13,768.22

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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.