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Finding the Fourth Proportional to 10,809.92, 16,218.24 and 9,178.40

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Solution

The fourth proportional to 10,809.92, 16,218.24 and 9,178.40 is: 13,770.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809.92 : 16,218.24 = 9,178.40 : x
  2. Step 2: Convert to fraction form
    10,809.92/16,218.24 = 9,178.40/x
  3. Step 3: Cross multiply
    10,809.92x = 16,218.24 × 9,178.40
  4. Step 4: Simplify right side
    10,809.92x = 148,857,494.02
  5. Step 5: Solve for x
    x = 148,857,494.02/10,809.92
  6. Step 6: Final answer
    x = 13,770.45

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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.