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Finding the Fourth Proportional to 16,843.40, 23,248.38 and 9,950.61

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Solution

The fourth proportional to 16,843.40, 23,248.38 and 9,950.61 is: 13,734.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,843.40 : 23,248.38 = 9,950.61 : x
  2. Step 2: Convert to fraction form
    16,843.40/23,248.38 = 9,950.61/x
  3. Step 3: Cross multiply
    16,843.40x = 23,248.38 × 9,950.61
  4. Step 4: Simplify right side
    16,843.40x = 231,335,562.51
  5. Step 5: Solve for x
    x = 231,335,562.51/16,843.40
  6. Step 6: Final answer
    x = 13,734.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.