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Finding the Fourth Proportional to 16,122.10, 22,249.47 and 9,834.52

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Solution

The fourth proportional to 16,122.10, 22,249.47 and 9,834.52 is: 13,572.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,122.10 : 22,249.47 = 9,834.52 : x
  2. Step 2: Convert to fraction form
    16,122.10/22,249.47 = 9,834.52/x
  3. Step 3: Cross multiply
    16,122.10x = 22,249.47 × 9,834.52
  4. Step 4: Simplify right side
    16,122.10x = 218,812,857.70
  5. Step 5: Solve for x
    x = 218,812,857.70/16,122.10
  6. Step 6: Final answer
    x = 13,572.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.