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Finding the Fourth Proportional to 20,335.92, 30,508.53 and 7,856.04

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Solution

The fourth proportional to 20,335.92, 30,508.53 and 7,856.04 is: 11,785.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,335.92 : 30,508.53 = 7,856.04 : x
  2. Step 2: Convert to fraction form
    20,335.92/30,508.53 = 7,856.04/x
  3. Step 3: Cross multiply
    20,335.92x = 30,508.53 × 7,856.04
  4. Step 4: Simplify right side
    20,335.92x = 239,676,232.02
  5. Step 5: Solve for x
    x = 239,676,232.02/20,335.92
  6. Step 6: Final answer
    x = 11,785.86

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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.