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Finding the Fourth Proportional to 20,565.36, 30,856.16 and 8,721.68

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Solution

The fourth proportional to 20,565.36, 30,856.16 and 8,721.68 is: 13,085.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,565.36 : 30,856.16 = 8,721.68 : x
  2. Step 2: Convert to fraction form
    20,565.36/30,856.16 = 8,721.68/x
  3. Step 3: Cross multiply
    20,565.36x = 30,856.16 × 8,721.68
  4. Step 4: Simplify right side
    20,565.36x = 269,117,553.55
  5. Step 5: Solve for x
    x = 269,117,553.55/20,565.36
  6. Step 6: Final answer
    x = 13,085.96

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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.