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Finding the Fourth Proportional to 23,221.73, 32,045.63 and 13,149.90

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Solution

The fourth proportional to 23,221.73, 32,045.63 and 13,149.90 is: 18,146.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,221.73 : 32,045.63 = 13,149.90 : x
  2. Step 2: Convert to fraction form
    23,221.73/32,045.63 = 13,149.90/x
  3. Step 3: Cross multiply
    23,221.73x = 32,045.63 × 13,149.90
  4. Step 4: Simplify right side
    23,221.73x = 421,396,764.19
  5. Step 5: Solve for x
    x = 421,396,764.19/23,221.73
  6. Step 6: Final answer
    x = 18,146.66

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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.