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Finding the Fourth Proportional to 16,210.97, 22,369.79 and 9,139.13

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Solution

The fourth proportional to 16,210.97, 22,369.79 and 9,139.13 is: 12,611.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,210.97 : 22,369.79 = 9,139.13 : x
  2. Step 2: Convert to fraction form
    16,210.97/22,369.79 = 9,139.13/x
  3. Step 3: Cross multiply
    16,210.97x = 22,369.79 × 9,139.13
  4. Step 4: Simplify right side
    16,210.97x = 204,440,329.88
  5. Step 5: Solve for x
    x = 204,440,329.88/16,210.97
  6. Step 6: Final answer
    x = 12,611.24

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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.