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Finding the Fourth Proportional to 16,143.26, 22,277.61 and 9,069.66

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Solution

The fourth proportional to 16,143.26, 22,277.61 and 9,069.66 is: 12,516.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,143.26 : 22,277.61 = 9,069.66 : x
  2. Step 2: Convert to fraction form
    16,143.26/22,277.61 = 9,069.66/x
  3. Step 3: Cross multiply
    16,143.26x = 22,277.61 × 9,069.66
  4. Step 4: Simplify right side
    16,143.26x = 202,050,348.31
  5. Step 5: Solve for x
    x = 202,050,348.31/16,143.26
  6. Step 6: Final answer
    x = 12,516.08

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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.