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Finding the Fourth Proportional to 12,407.60, 18,611.40 and 9,081.20

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Solution

The fourth proportional to 12,407.60, 18,611.40 and 9,081.20 is: 13,621.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.60 : 18,611.40 = 9,081.20 : x
  2. Step 2: Convert to fraction form
    12,407.60/18,611.40 = 9,081.20/x
  3. Step 3: Cross multiply
    12,407.60x = 18,611.40 × 9,081.20
  4. Step 4: Simplify right side
    12,407.60x = 169,013,845.68
  5. Step 5: Solve for x
    x = 169,013,845.68/12,407.60
  6. Step 6: Final answer
    x = 13,621.80

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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.