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Finding the Fourth Proportional to 20,856.30, 31,288.56 and 7,708.80

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Solution

The fourth proportional to 20,856.30, 31,288.56 and 7,708.80 is: 11,564.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,856.30 : 31,288.56 = 7,708.80 : x
  2. Step 2: Convert to fraction form
    20,856.30/31,288.56 = 7,708.80/x
  3. Step 3: Cross multiply
    20,856.30x = 31,288.56 × 7,708.80
  4. Step 4: Simplify right side
    20,856.30x = 241,197,251.33
  5. Step 5: Solve for x
    x = 241,197,251.33/20,856.30
  6. Step 6: Final answer
    x = 11,564.72

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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.