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Finding the Fourth Proportional to 12,414.40, 18,615.72 and 4,511.40

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Solution

The fourth proportional to 12,414.40, 18,615.72 and 4,511.40 is: 6,764.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.40 : 18,615.72 = 4,511.40 : x
  2. Step 2: Convert to fraction form
    12,414.40/18,615.72 = 4,511.40/x
  3. Step 3: Cross multiply
    12,414.40x = 18,615.72 × 4,511.40
  4. Step 4: Simplify right side
    12,414.40x = 83,982,959.21
  5. Step 5: Solve for x
    x = 83,982,959.21/12,414.40
  6. Step 6: Final answer
    x = 6,764.96

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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.