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Finding the Fourth Proportional to 25,794.24, 38,680.44 and 9,158.46

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Solution

The fourth proportional to 25,794.24, 38,680.44 and 9,158.46 is: 13,733.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,794.24 : 38,680.44 = 9,158.46 : x
  2. Step 2: Convert to fraction form
    25,794.24/38,680.44 = 9,158.46/x
  3. Step 3: Cross multiply
    25,794.24x = 38,680.44 × 9,158.46
  4. Step 4: Simplify right side
    25,794.24x = 354,253,262.52
  5. Step 5: Solve for x
    x = 354,253,262.52/25,794.24
  6. Step 6: Final answer
    x = 13,733.81

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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.