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Finding the Fourth Proportional to 25,728.85, 38,596.11 and 8,194.65

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Solution

The fourth proportional to 25,728.85, 38,596.11 and 8,194.65 is: 12,292.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,728.85 : 38,596.11 = 8,194.65 : x
  2. Step 2: Convert to fraction form
    25,728.85/38,596.11 = 8,194.65/x
  3. Step 3: Cross multiply
    25,728.85x = 38,596.11 × 8,194.65
  4. Step 4: Simplify right side
    25,728.85x = 316,281,612.81
  5. Step 5: Solve for x
    x = 316,281,612.81/25,728.85
  6. Step 6: Final answer
    x = 12,292.88

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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.