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Finding the Fourth Proportional to 12,614.60, 18,932.70 and 5,605.40

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Solution

The fourth proportional to 12,614.60, 18,932.70 and 5,605.40 is: 8,412.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.60 : 18,932.70 = 5,605.40 : x
  2. Step 2: Convert to fraction form
    12,614.60/18,932.70 = 5,605.40/x
  3. Step 3: Cross multiply
    12,614.60x = 18,932.70 × 5,605.40
  4. Step 4: Simplify right side
    12,614.60x = 106,125,356.58
  5. Step 5: Solve for x
    x = 106,125,356.58/12,614.60
  6. Step 6: Final answer
    x = 8,412.90

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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.