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Finding the Fourth Proportional to 23,843.30, 32,901.93 and 13,767.14

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Solution

The fourth proportional to 23,843.30, 32,901.93 and 13,767.14 is: 18,997.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,843.30 : 32,901.93 = 13,767.14 : x
  2. Step 2: Convert to fraction form
    23,843.30/32,901.93 = 13,767.14/x
  3. Step 3: Cross multiply
    23,843.30x = 32,901.93 × 13,767.14
  4. Step 4: Simplify right side
    23,843.30x = 452,965,476.58
  5. Step 5: Solve for x
    x = 452,965,476.58/23,843.30
  6. Step 6: Final answer
    x = 18,997.60

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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.