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Finding the Fourth Proportional to 12,443.20, 18,643.20 and 11,665.60

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Solution

The fourth proportional to 12,443.20, 18,643.20 and 11,665.60 is: 17,478.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,443.20 : 18,643.20 = 11,665.60 : x
  2. Step 2: Convert to fraction form
    12,443.20/18,643.20 = 11,665.60/x
  3. Step 3: Cross multiply
    12,443.20x = 18,643.20 × 11,665.60
  4. Step 4: Simplify right side
    12,443.20x = 217,484,113.92
  5. Step 5: Solve for x
    x = 217,484,113.92/12,443.20
  6. Step 6: Final answer
    x = 17,478.15

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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.