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Finding the Fourth Proportional to 16,255.77, 22,433.40 and 9,182.22

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Solution

The fourth proportional to 16,255.77, 22,433.40 and 9,182.22 is: 12,671.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,255.77 : 22,433.40 = 9,182.22 : x
  2. Step 2: Convert to fraction form
    16,255.77/22,433.40 = 9,182.22/x
  3. Step 3: Cross multiply
    16,255.77x = 22,433.40 × 9,182.22
  4. Step 4: Simplify right side
    16,255.77x = 205,988,414.15
  5. Step 5: Solve for x
    x = 205,988,414.15/16,255.77
  6. Step 6: Final answer
    x = 12,671.71

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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.