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Finding the Fourth Proportional to 25,729.85, 38,597.61 and 8,195.65

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Solution

The fourth proportional to 25,729.85, 38,597.61 and 8,195.65 is: 12,294.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,729.85 : 38,597.61 = 8,195.65 : x
  2. Step 2: Convert to fraction form
    25,729.85/38,597.61 = 8,195.65/x
  3. Step 3: Cross multiply
    25,729.85x = 38,597.61 × 8,195.65
  4. Step 4: Simplify right side
    25,729.85x = 316,332,502.40
  5. Step 5: Solve for x
    x = 316,332,502.40/25,729.85
  6. Step 6: Final answer
    x = 12,294.38

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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.