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Finding the Fourth Proportional to 12,221.32, 18,332.70 and 5,296.36

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Solution

The fourth proportional to 12,221.32, 18,332.70 and 5,296.36 is: 7,944.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,221.32 : 18,332.70 = 5,296.36 : x
  2. Step 2: Convert to fraction form
    12,221.32/18,332.70 = 5,296.36/x
  3. Step 3: Cross multiply
    12,221.32x = 18,332.70 × 5,296.36
  4. Step 4: Simplify right side
    12,221.32x = 97,096,578.97
  5. Step 5: Solve for x
    x = 97,096,578.97/12,221.32
  6. Step 6: Final answer
    x = 7,944.85

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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.