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Finding the Fourth Proportional to 20,979.96, 31,470.12 and 6,189.14

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Solution

The fourth proportional to 20,979.96, 31,470.12 and 6,189.14 is: 9,283.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,979.96 : 31,470.12 = 6,189.14 : x
  2. Step 2: Convert to fraction form
    20,979.96/31,470.12 = 6,189.14/x
  3. Step 3: Cross multiply
    20,979.96x = 31,470.12 × 6,189.14
  4. Step 4: Simplify right side
    20,979.96x = 194,772,978.50
  5. Step 5: Solve for x
    x = 194,772,978.50/20,979.96
  6. Step 6: Final answer
    x = 9,283.76

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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.