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Finding the Fourth Proportional to 16,616.47, 22,919.31 and 9,896.92

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Solution

The fourth proportional to 16,616.47, 22,919.31 and 9,896.92 is: 13,650.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,616.47 : 22,919.31 = 9,896.92 : x
  2. Step 2: Convert to fraction form
    16,616.47/22,919.31 = 9,896.92/x
  3. Step 3: Cross multiply
    16,616.47x = 22,919.31 × 9,896.92
  4. Step 4: Simplify right side
    16,616.47x = 226,830,577.53
  5. Step 5: Solve for x
    x = 226,830,577.53/16,616.47
  6. Step 6: Final answer
    x = 13,650.95

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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.