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Finding the Fourth Proportional to 12,227.60, 18,283.80 and 9,117.20

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Solution

The fourth proportional to 12,227.60, 18,283.80 and 9,117.20 is: 13,632.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,227.60 : 18,283.80 = 9,117.20 : x
  2. Step 2: Convert to fraction form
    12,227.60/18,283.80 = 9,117.20/x
  3. Step 3: Cross multiply
    12,227.60x = 18,283.80 × 9,117.20
  4. Step 4: Simplify right side
    12,227.60x = 166,697,061.36
  5. Step 5: Solve for x
    x = 166,697,061.36/12,227.60
  6. Step 6: Final answer
    x = 13,632.85

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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.