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Finding the Fourth Proportional to 16,238.97, 22,412.75 and 13,582.17

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Solution

The fourth proportional to 16,238.97, 22,412.75 and 13,582.17 is: 18,745.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,238.97 : 22,412.75 = 13,582.17 : x
  2. Step 2: Convert to fraction form
    16,238.97/22,412.75 = 13,582.17/x
  3. Step 3: Cross multiply
    16,238.97x = 22,412.75 × 13,582.17
  4. Step 4: Simplify right side
    16,238.97x = 304,413,712.76
  5. Step 5: Solve for x
    x = 304,413,712.76/16,238.97
  6. Step 6: Final answer
    x = 18,745.88

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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.