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Finding the Fourth Proportional to 25,711.65, 38,565.85 and 8,194.05

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Solution

The fourth proportional to 25,711.65, 38,565.85 and 8,194.05 is: 12,290.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,711.65 : 38,565.85 = 8,194.05 : x
  2. Step 2: Convert to fraction form
    25,711.65/38,565.85 = 8,194.05/x
  3. Step 3: Cross multiply
    25,711.65x = 38,565.85 × 8,194.05
  4. Step 4: Simplify right side
    25,711.65x = 316,010,503.19
  5. Step 5: Solve for x
    x = 316,010,503.19/25,711.65
  6. Step 6: Final answer
    x = 12,290.56

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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.