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Finding the Fourth Proportional to 12,407.60, 18,611.40 and 11,140.40

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Solution

The fourth proportional to 12,407.60, 18,611.40 and 11,140.40 is: 16,710.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.60 : 18,611.40 = 11,140.40 : x
  2. Step 2: Convert to fraction form
    12,407.60/18,611.40 = 11,140.40/x
  3. Step 3: Cross multiply
    12,407.60x = 18,611.40 × 11,140.40
  4. Step 4: Simplify right side
    12,407.60x = 207,338,440.56
  5. Step 5: Solve for x
    x = 207,338,440.56/12,407.60
  6. Step 6: Final answer
    x = 16,710.60

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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.