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Finding the Fourth Proportional to 23,410.72, 32,304.30 and 13,850.97

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Solution

The fourth proportional to 23,410.72, 32,304.30 and 13,850.97 is: 19,112.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,410.72 : 32,304.30 = 13,850.97 : x
  2. Step 2: Convert to fraction form
    23,410.72/32,304.30 = 13,850.97/x
  3. Step 3: Cross multiply
    23,410.72x = 32,304.30 × 13,850.97
  4. Step 4: Simplify right side
    23,410.72x = 447,445,890.17
  5. Step 5: Solve for x
    x = 447,445,890.17/23,410.72
  6. Step 6: Final answer
    x = 19,112.86

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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.