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Finding the Fourth Proportional to 16,414.29, 22,649.09 and 9,340.83

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Solution

The fourth proportional to 16,414.29, 22,649.09 and 9,340.83 is: 12,888.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,414.29 : 22,649.09 = 9,340.83 : x
  2. Step 2: Convert to fraction form
    16,414.29/22,649.09 = 9,340.83/x
  3. Step 3: Cross multiply
    16,414.29x = 22,649.09 × 9,340.83
  4. Step 4: Simplify right side
    16,414.29x = 211,561,252.64
  5. Step 5: Solve for x
    x = 211,561,252.64/16,414.29
  6. Step 6: Final answer
    x = 12,888.85

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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.