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Finding the Fourth Proportional to 16,691.77, 23,026.84 and 9,614.09

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Solution

The fourth proportional to 16,691.77, 23,026.84 and 9,614.09 is: 13,262.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,691.77 : 23,026.84 = 9,614.09 : x
  2. Step 2: Convert to fraction form
    16,691.77/23,026.84 = 9,614.09/x
  3. Step 3: Cross multiply
    16,691.77x = 23,026.84 × 9,614.09
  4. Step 4: Simplify right side
    16,691.77x = 221,382,112.18
  5. Step 5: Solve for x
    x = 221,382,112.18/16,691.77
  6. Step 6: Final answer
    x = 13,262.95

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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.