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Finding the Fourth Proportional to 12,214.40, 16,854.72 and 7,497.92

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Solution

The fourth proportional to 12,214.40, 16,854.72 and 7,497.92 is: 10,346.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214.40 : 16,854.72 = 7,497.92 : x
  2. Step 2: Convert to fraction form
    12,214.40/16,854.72 = 7,497.92/x
  3. Step 3: Cross multiply
    12,214.40x = 16,854.72 × 7,497.92
  4. Step 4: Simplify right side
    12,214.40x = 126,375,342.18
  5. Step 5: Solve for x
    x = 126,375,342.18/12,214.40
  6. Step 6: Final answer
    x = 10,346.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.