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Finding the Fourth Proportional to 12,572.40, 18,864.60 and 8,414.40

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Solution

The fourth proportional to 12,572.40, 18,864.60 and 8,414.40 is: 12,625.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,572.40 : 18,864.60 = 8,414.40 : x
  2. Step 2: Convert to fraction form
    12,572.40/18,864.60 = 8,414.40/x
  3. Step 3: Cross multiply
    12,572.40x = 18,864.60 × 8,414.40
  4. Step 4: Simplify right side
    12,572.40x = 158,734,290.24
  5. Step 5: Solve for x
    x = 158,734,290.24/12,572.40
  6. Step 6: Final answer
    x = 12,625.62

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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.