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Finding the Fourth Proportional to 12,149.60, 18,202.80 and 9,946.40

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Solution

The fourth proportional to 12,149.60, 18,202.80 and 9,946.40 is: 14,901.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.60 : 18,202.80 = 9,946.40 : x
  2. Step 2: Convert to fraction form
    12,149.60/18,202.80 = 9,946.40/x
  3. Step 3: Cross multiply
    12,149.60x = 18,202.80 × 9,946.40
  4. Step 4: Simplify right side
    12,149.60x = 181,052,329.92
  5. Step 5: Solve for x
    x = 181,052,329.92/12,149.60
  6. Step 6: Final answer
    x = 14,901.92

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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.