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Finding the Fourth Proportional to 20,072.64, 30,109.92 and 9,693.12

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Solution

The fourth proportional to 20,072.64, 30,109.92 and 9,693.12 is: 14,540.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,072.64 : 30,109.92 = 9,693.12 : x
  2. Step 2: Convert to fraction form
    20,072.64/30,109.92 = 9,693.12/x
  3. Step 3: Cross multiply
    20,072.64x = 30,109.92 × 9,693.12
  4. Step 4: Simplify right side
    20,072.64x = 291,859,067.75
  5. Step 5: Solve for x
    x = 291,859,067.75/20,072.64
  6. Step 6: Final answer
    x = 14,540.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.