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Finding the Fourth Proportional to 16,017.97, 22,097.13 and 10,046.65

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Solution

The fourth proportional to 16,017.97, 22,097.13 and 10,046.65 is: 13,859.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,017.97 : 22,097.13 = 10,046.65 : x
  2. Step 2: Convert to fraction form
    16,017.97/22,097.13 = 10,046.65/x
  3. Step 3: Cross multiply
    16,017.97x = 22,097.13 × 10,046.65
  4. Step 4: Simplify right side
    16,017.97x = 222,002,131.11
  5. Step 5: Solve for x
    x = 222,002,131.11/16,017.97
  6. Step 6: Final answer
    x = 13,859.57

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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.