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Finding the Fourth Proportional to 20,407.11, 30,615.81 and 9,882.18

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Solution

The fourth proportional to 20,407.11, 30,615.81 and 9,882.18 is: 14,825.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,407.11 : 30,615.81 = 9,882.18 : x
  2. Step 2: Convert to fraction form
    20,407.11/30,615.81 = 9,882.18/x
  3. Step 3: Cross multiply
    20,407.11x = 30,615.81 × 9,882.18
  4. Step 4: Simplify right side
    20,407.11x = 302,550,945.27
  5. Step 5: Solve for x
    x = 302,550,945.27/20,407.11
  6. Step 6: Final answer
    x = 14,825.76

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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.