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Finding the Fourth Proportional to 10,997.14, 16,495.71 and 9,043.42

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Solution

The fourth proportional to 10,997.14, 16,495.71 and 9,043.42 is: 13,565.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.14 : 16,495.71 = 9,043.42 : x
  2. Step 2: Convert to fraction form
    10,997.14/16,495.71 = 9,043.42/x
  3. Step 3: Cross multiply
    10,997.14x = 16,495.71 × 9,043.42
  4. Step 4: Simplify right side
    10,997.14x = 149,177,633.73
  5. Step 5: Solve for x
    x = 149,177,633.73/10,997.14
  6. Step 6: Final answer
    x = 13,565.13

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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.