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Finding the Fourth Proportional to 16,255.52, 22,431.84 and 9,182.96

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Solution

The fourth proportional to 16,255.52, 22,431.84 and 9,182.96 is: 12,672.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,255.52 : 22,431.84 = 9,182.96 : x
  2. Step 2: Convert to fraction form
    16,255.52/22,431.84 = 9,182.96/x
  3. Step 3: Cross multiply
    16,255.52x = 22,431.84 × 9,182.96
  4. Step 4: Simplify right side
    16,255.52x = 205,990,689.45
  5. Step 5: Solve for x
    x = 205,990,689.45/16,255.52
  6. Step 6: Final answer
    x = 12,672.05

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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.