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Finding the Fourth Proportional to 20,478.85, 30,718.29 and 5,687.77

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Solution

The fourth proportional to 20,478.85, 30,718.29 and 5,687.77 is: 8,531.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,478.85 : 30,718.29 = 5,687.77 : x
  2. Step 2: Convert to fraction form
    20,478.85/30,718.29 = 5,687.77/x
  3. Step 3: Cross multiply
    20,478.85x = 30,718.29 × 5,687.77
  4. Step 4: Simplify right side
    20,478.85x = 174,718,538.45
  5. Step 5: Solve for x
    x = 174,718,538.45/20,478.85
  6. Step 6: Final answer
    x = 8,531.66

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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.