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Finding the Fourth Proportional to 23,214.75, 32,023.78 and 20,041.17

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Solution

The fourth proportional to 23,214.75, 32,023.78 and 20,041.17 is: 27,645.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,214.75 : 32,023.78 = 20,041.17 : x
  2. Step 2: Convert to fraction form
    23,214.75/32,023.78 = 20,041.17/x
  3. Step 3: Cross multiply
    23,214.75x = 32,023.78 × 20,041.17
  4. Step 4: Simplify right side
    23,214.75x = 641,794,019.02
  5. Step 5: Solve for x
    x = 641,794,019.02/23,214.75
  6. Step 6: Final answer
    x = 27,645.96

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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.