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Finding the Fourth Proportional to 12,337.24, 18,488.22 and 11,671.96

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Solution

The fourth proportional to 12,337.24, 18,488.22 and 11,671.96 is: 17,491.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,337.24 : 18,488.22 = 11,671.96 : x
  2. Step 2: Convert to fraction form
    12,337.24/18,488.22 = 11,671.96/x
  3. Step 3: Cross multiply
    12,337.24x = 18,488.22 × 11,671.96
  4. Step 4: Simplify right side
    12,337.24x = 215,793,764.31
  5. Step 5: Solve for x
    x = 215,793,764.31/12,337.24
  6. Step 6: Final answer
    x = 17,491.25

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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.