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Finding the Fourth Proportional to 16,282.32, 22,469.56 and 8,830.32

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Solution

The fourth proportional to 16,282.32, 22,469.56 and 8,830.32 is: 12,185.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,282.32 : 22,469.56 = 8,830.32 : x
  2. Step 2: Convert to fraction form
    16,282.32/22,469.56 = 8,830.32/x
  3. Step 3: Cross multiply
    16,282.32x = 22,469.56 × 8,830.32
  4. Step 4: Simplify right side
    16,282.32x = 198,413,405.06
  5. Step 5: Solve for x
    x = 198,413,405.06/16,282.32
  6. Step 6: Final answer
    x = 12,185.82

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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.