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Finding the Fourth Proportional to 16,149.24, 22,283.10 and 9,863.64

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Solution

The fourth proportional to 16,149.24, 22,283.10 and 9,863.64 is: 13,610.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,149.24 : 22,283.10 = 9,863.64 : x
  2. Step 2: Convert to fraction form
    16,149.24/22,283.10 = 9,863.64/x
  3. Step 3: Cross multiply
    16,149.24x = 22,283.10 × 9,863.64
  4. Step 4: Simplify right side
    16,149.24x = 219,792,476.48
  5. Step 5: Solve for x
    x = 219,792,476.48/16,149.24
  6. Step 6: Final answer
    x = 13,610.08

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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.