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Finding the Fourth Proportional to 16,411.68, 22,644.77 and 9,693.95

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Solution

The fourth proportional to 16,411.68, 22,644.77 and 9,693.95 is: 13,375.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,411.68 : 22,644.77 = 9,693.95 : x
  2. Step 2: Convert to fraction form
    16,411.68/22,644.77 = 9,693.95/x
  3. Step 3: Cross multiply
    16,411.68x = 22,644.77 × 9,693.95
  4. Step 4: Simplify right side
    16,411.68x = 219,517,106.45
  5. Step 5: Solve for x
    x = 219,517,106.45/16,411.68
  6. Step 6: Final answer
    x = 13,375.66

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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.