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Finding the Fourth Proportional to 16,139.80, 22,272.41 and 8,969.68

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Solution

The fourth proportional to 16,139.80, 22,272.41 and 8,969.68 is: 12,377.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,139.80 : 22,272.41 = 8,969.68 : x
  2. Step 2: Convert to fraction form
    16,139.80/22,272.41 = 8,969.68/x
  3. Step 3: Cross multiply
    16,139.80x = 22,272.41 × 8,969.68
  4. Step 4: Simplify right side
    16,139.80x = 199,776,290.00
  5. Step 5: Solve for x
    x = 199,776,290.00/16,139.80
  6. Step 6: Final answer
    x = 12,377.87

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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.