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Finding the Fourth Proportional to 23,310.92, 32,171.39 and 14,235.78

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Solution

The fourth proportional to 23,310.92, 32,171.39 and 14,235.78 is: 19,646.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,310.92 : 32,171.39 = 14,235.78 : x
  2. Step 2: Convert to fraction form
    23,310.92/32,171.39 = 14,235.78/x
  3. Step 3: Cross multiply
    23,310.92x = 32,171.39 × 14,235.78
  4. Step 4: Simplify right side
    23,310.92x = 457,984,830.33
  5. Step 5: Solve for x
    x = 457,984,830.33/23,310.92
  6. Step 6: Final answer
    x = 19,646.79

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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.