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Finding the Fourth Proportional to 16,057.78, 22,167.18 and 9,340.96

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Solution

The fourth proportional to 16,057.78, 22,167.18 and 9,340.96 is: 12,894.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,057.78 : 22,167.18 = 9,340.96 : x
  2. Step 2: Convert to fraction form
    16,057.78/22,167.18 = 9,340.96/x
  3. Step 3: Cross multiply
    16,057.78x = 22,167.18 × 9,340.96
  4. Step 4: Simplify right side
    16,057.78x = 207,062,741.69
  5. Step 5: Solve for x
    x = 207,062,741.69/16,057.78
  6. Step 6: Final answer
    x = 12,894.85

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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.