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Finding the Fourth Proportional to 20,838.08, 31,246.49 and 6,789.08

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Solution

The fourth proportional to 20,838.08, 31,246.49 and 6,789.08 is: 10,180.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,838.08 : 31,246.49 = 6,789.08 : x
  2. Step 2: Convert to fraction form
    20,838.08/31,246.49 = 6,789.08/x
  3. Step 3: Cross multiply
    20,838.08x = 31,246.49 × 6,789.08
  4. Step 4: Simplify right side
    20,838.08x = 212,134,781.07
  5. Step 5: Solve for x
    x = 212,134,781.07/20,838.08
  6. Step 6: Final answer
    x = 10,180.15

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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.