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Finding the Fourth Proportional to 25,604.57, 38,380.48 and 9,805.30

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Solution

The fourth proportional to 25,604.57, 38,380.48 and 9,805.30 is: 14,697.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,604.57 : 38,380.48 = 9,805.30 : x
  2. Step 2: Convert to fraction form
    25,604.57/38,380.48 = 9,805.30/x
  3. Step 3: Cross multiply
    25,604.57x = 38,380.48 × 9,805.30
  4. Step 4: Simplify right side
    25,604.57x = 376,332,000.08
  5. Step 5: Solve for x
    x = 376,332,000.08/25,604.57
  6. Step 6: Final answer
    x = 14,697.84

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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.