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Finding the Fourth Proportional to 18,411.20, 27,616.80 and 9,648.80

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Solution

The fourth proportional to 18,411.20, 27,616.80 and 9,648.80 is: 14,473.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,411.20 : 27,616.80 = 9,648.80 : x
  2. Step 2: Convert to fraction form
    18,411.20/27,616.80 = 9,648.80/x
  3. Step 3: Cross multiply
    18,411.20x = 27,616.80 × 9,648.80
  4. Step 4: Simplify right side
    18,411.20x = 266,468,979.84
  5. Step 5: Solve for x
    x = 266,468,979.84/18,411.20
  6. Step 6: Final answer
    x = 14,473.20

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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.