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Finding the Fourth Proportional to 20,407.62, 30,616.56 and 9,882.68

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Solution

The fourth proportional to 20,407.62, 30,616.56 and 9,882.68 is: 14,826.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,407.62 : 30,616.56 = 9,882.68 : x
  2. Step 2: Convert to fraction form
    20,407.62/30,616.56 = 9,882.68/x
  3. Step 3: Cross multiply
    20,407.62x = 30,616.56 × 9,882.68
  4. Step 4: Simplify right side
    20,407.62x = 302,573,665.18
  5. Step 5: Solve for x
    x = 302,573,665.18/20,407.62
  6. Step 6: Final answer
    x = 14,826.50

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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.