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Finding the Fourth Proportional to 23,813.70, 32,863.78 and 13,743.47

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Solution

The fourth proportional to 23,813.70, 32,863.78 and 13,743.47 is: 18,966.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,813.70 : 32,863.78 = 13,743.47 : x
  2. Step 2: Convert to fraction form
    23,813.70/32,863.78 = 13,743.47/x
  3. Step 3: Cross multiply
    23,813.70x = 32,863.78 × 13,743.47
  4. Step 4: Simplify right side
    23,813.70x = 451,662,396.55
  5. Step 5: Solve for x
    x = 451,662,396.55/23,813.70
  6. Step 6: Final answer
    x = 18,966.50

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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.