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Finding the Fourth Proportional to 12,414.60, 18,621.90 and 7,165.80

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Solution

The fourth proportional to 12,414.60, 18,621.90 and 7,165.80 is: 10,748.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.60 : 18,621.90 = 7,165.80 : x
  2. Step 2: Convert to fraction form
    12,414.60/18,621.90 = 7,165.80/x
  3. Step 3: Cross multiply
    12,414.60x = 18,621.90 × 7,165.80
  4. Step 4: Simplify right side
    12,414.60x = 133,440,811.02
  5. Step 5: Solve for x
    x = 133,440,811.02/12,414.60
  6. Step 6: Final answer
    x = 10,748.70

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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.