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Finding the Fourth Proportional to 25,729.10, 38,596.49 and 8,194.90

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Solution

The fourth proportional to 25,729.10, 38,596.49 and 8,194.90 is: 12,293.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,729.10 : 38,596.49 = 8,194.90 : x
  2. Step 2: Convert to fraction form
    25,729.10/38,596.49 = 8,194.90/x
  3. Step 3: Cross multiply
    25,729.10x = 38,596.49 × 8,194.90
  4. Step 4: Simplify right side
    25,729.10x = 316,294,141.94
  5. Step 5: Solve for x
    x = 316,294,141.94/25,729.10
  6. Step 6: Final answer
    x = 12,293.25

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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.