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Finding the Fourth Proportional to 25,700.38, 38,554.62 and 8,174.14

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Solution

The fourth proportional to 25,700.38, 38,554.62 and 8,174.14 is: 12,262.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,700.38 : 38,554.62 = 8,174.14 : x
  2. Step 2: Convert to fraction form
    25,700.38/38,554.62 = 8,174.14/x
  3. Step 3: Cross multiply
    25,700.38x = 38,554.62 × 8,174.14
  4. Step 4: Simplify right side
    25,700.38x = 315,150,734.49
  5. Step 5: Solve for x
    x = 315,150,734.49/25,700.38
  6. Step 6: Final answer
    x = 12,262.49

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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.