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Finding the Fourth Proportional to 20,278.92, 30,428.10 and 9,885

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Solution

The fourth proportional to 20,278.92, 30,428.10 and 9,885 is: 14,832.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,278.92 : 30,428.10 = 9,885 : x
  2. Step 2: Convert to fraction form
    20,278.92/30,428.10 = 9,885/x
  3. Step 3: Cross multiply
    20,278.92x = 30,428.10 × 9,885
  4. Step 4: Simplify right side
    20,278.92x = 300,781,768.50
  5. Step 5: Solve for x
    x = 300,781,768.50/20,278.92
  6. Step 6: Final answer
    x = 14,832.24

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Why These Related Problems?

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