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Finding the Fourth Proportional to 23,441.80, 32,344.25 and 13,876.87

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Solution

The fourth proportional to 23,441.80, 32,344.25 and 13,876.87 is: 19,146.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,441.80 : 32,344.25 = 13,876.87 : x
  2. Step 2: Convert to fraction form
    23,441.80/32,344.25 = 13,876.87/x
  3. Step 3: Cross multiply
    23,441.80x = 32,344.25 × 13,876.87
  4. Step 4: Simplify right side
    23,441.80x = 448,836,952.50
  5. Step 5: Solve for x
    x = 448,836,952.50/23,441.80
  6. Step 6: Final answer
    x = 19,146.86

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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.