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Finding the Fourth Proportional to 25,666.52, 38,517.10 and 9,026.65

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Solution

The fourth proportional to 25,666.52, 38,517.10 and 9,026.65 is: 13,546.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,666.52 : 38,517.10 = 9,026.65 : x
  2. Step 2: Convert to fraction form
    25,666.52/38,517.10 = 9,026.65/x
  3. Step 3: Cross multiply
    25,666.52x = 38,517.10 × 9,026.65
  4. Step 4: Simplify right side
    25,666.52x = 347,680,380.72
  5. Step 5: Solve for x
    x = 347,680,380.72/25,666.52
  6. Step 6: Final answer
    x = 13,546.07

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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.