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Finding the Fourth Proportional to 16,086.76, 22,199.72 and 9,013.22

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Solution

The fourth proportional to 16,086.76, 22,199.72 and 9,013.22 is: 12,438.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,086.76 : 22,199.72 = 9,013.22 : x
  2. Step 2: Convert to fraction form
    16,086.76/22,199.72 = 9,013.22/x
  3. Step 3: Cross multiply
    16,086.76x = 22,199.72 × 9,013.22
  4. Step 4: Simplify right side
    16,086.76x = 200,090,960.30
  5. Step 5: Solve for x
    x = 200,090,960.30/16,086.76
  6. Step 6: Final answer
    x = 12,438.24

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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.