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Finding the Fourth Proportional to 12,404.60, 18,578.10 and 12,116.60

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Solution

The fourth proportional to 12,404.60, 18,578.10 and 12,116.60 is: 18,146.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,404.60 : 18,578.10 = 12,116.60 : x
  2. Step 2: Convert to fraction form
    12,404.60/18,578.10 = 12,116.60/x
  3. Step 3: Cross multiply
    12,404.60x = 18,578.10 × 12,116.60
  4. Step 4: Simplify right side
    12,404.60x = 225,103,406.46
  5. Step 5: Solve for x
    x = 225,103,406.46/12,404.60
  6. Step 6: Final answer
    x = 18,146.77

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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.