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Finding the Fourth Proportional to 14,930.64, 22,375.74 and 5,691.60

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Solution

The fourth proportional to 14,930.64, 22,375.74 and 5,691.60 is: 8,529.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,930.64 : 22,375.74 = 5,691.60 : x
  2. Step 2: Convert to fraction form
    14,930.64/22,375.74 = 5,691.60/x
  3. Step 3: Cross multiply
    14,930.64x = 22,375.74 × 5,691.60
  4. Step 4: Simplify right side
    14,930.64x = 127,353,761.78
  5. Step 5: Solve for x
    x = 127,353,761.78/14,930.64
  6. Step 6: Final answer
    x = 8,529.69

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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.