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Finding the Fourth Proportional to 12,376.60, 18,564.90 and 8,229.40

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Solution

The fourth proportional to 12,376.60, 18,564.90 and 8,229.40 is: 12,344.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,376.60 : 18,564.90 = 8,229.40 : x
  2. Step 2: Convert to fraction form
    12,376.60/18,564.90 = 8,229.40/x
  3. Step 3: Cross multiply
    12,376.60x = 18,564.90 × 8,229.40
  4. Step 4: Simplify right side
    12,376.60x = 152,777,988.06
  5. Step 5: Solve for x
    x = 152,777,988.06/12,376.60
  6. Step 6: Final answer
    x = 12,344.10

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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.