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Finding the Fourth Proportional to 20,833.74, 31,253.85 and 6,979.50

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Solution

The fourth proportional to 20,833.74, 31,253.85 and 6,979.50 is: 10,470.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,833.74 : 31,253.85 = 6,979.50 : x
  2. Step 2: Convert to fraction form
    20,833.74/31,253.85 = 6,979.50/x
  3. Step 3: Cross multiply
    20,833.74x = 31,253.85 × 6,979.50
  4. Step 4: Simplify right side
    20,833.74x = 218,136,246.08
  5. Step 5: Solve for x
    x = 218,136,246.08/20,833.74
  6. Step 6: Final answer
    x = 10,470.34

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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.