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Finding the Fourth Proportional to 20,785.92, 31,178.92 and 5,203.52

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Solution

The fourth proportional to 20,785.92, 31,178.92 and 5,203.52 is: 7,805.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,785.92 : 31,178.92 = 5,203.52 : x
  2. Step 2: Convert to fraction form
    20,785.92/31,178.92 = 5,203.52/x
  3. Step 3: Cross multiply
    20,785.92x = 31,178.92 × 5,203.52
  4. Step 4: Simplify right side
    20,785.92x = 162,240,133.80
  5. Step 5: Solve for x
    x = 162,240,133.80/20,785.92
  6. Step 6: Final answer
    x = 7,805.29

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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.