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Finding the Fourth Proportional to 16,142.86, 22,277.72 and 9,069.14

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Solution

The fourth proportional to 16,142.86, 22,277.72 and 9,069.14 is: 12,515.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,142.86 : 22,277.72 = 9,069.14 : x
  2. Step 2: Convert to fraction form
    16,142.86/22,277.72 = 9,069.14/x
  3. Step 3: Cross multiply
    16,142.86x = 22,277.72 × 9,069.14
  4. Step 4: Simplify right side
    16,142.86x = 202,039,761.56
  5. Step 5: Solve for x
    x = 202,039,761.56/16,142.86
  6. Step 6: Final answer
    x = 12,515.74

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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.