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Finding the Fourth Proportional to 12,209.40, 18,306 and 9,872.28

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Solution

The fourth proportional to 12,209.40, 18,306 and 9,872.28 is: 14,801.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209.40 : 18,306 = 9,872.28 : x
  2. Step 2: Convert to fraction form
    12,209.40/18,306 = 9,872.28/x
  3. Step 3: Cross multiply
    12,209.40x = 18,306 × 9,872.28
  4. Step 4: Simplify right side
    12,209.40x = 180,721,957.68
  5. Step 5: Solve for x
    x = 180,721,957.68/12,209.40
  6. Step 6: Final answer
    x = 14,801.87

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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.