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Finding the Fourth Proportional to 20,167.92, 30,254.76 and 6,318

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Solution

The fourth proportional to 20,167.92, 30,254.76 and 6,318 is: 9,477.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,167.92 : 30,254.76 = 6,318 : x
  2. Step 2: Convert to fraction form
    20,167.92/30,254.76 = 6,318/x
  3. Step 3: Cross multiply
    20,167.92x = 30,254.76 × 6,318
  4. Step 4: Simplify right side
    20,167.92x = 191,149,573.68
  5. Step 5: Solve for x
    x = 191,149,573.68/20,167.92
  6. Step 6: Final answer
    x = 9,477.90

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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.