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Finding the Fourth Proportional to 16,583.11, 22,884.17 and 9,867.20

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Solution

The fourth proportional to 16,583.11, 22,884.17 and 9,867.20 is: 13,616.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,583.11 : 22,884.17 = 9,867.20 : x
  2. Step 2: Convert to fraction form
    16,583.11/22,884.17 = 9,867.20/x
  3. Step 3: Cross multiply
    16,583.11x = 22,884.17 × 9,867.20
  4. Step 4: Simplify right side
    16,583.11x = 225,802,632.89
  5. Step 5: Solve for x
    x = 225,802,632.89/16,583.11
  6. Step 6: Final answer
    x = 13,616.42

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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.