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Finding the Fourth Proportional to 20,522.58, 30,785.62 and 6,478.85

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Solution

The fourth proportional to 20,522.58, 30,785.62 and 6,478.85 is: 9,718.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,522.58 : 30,785.62 = 6,478.85 : x
  2. Step 2: Convert to fraction form
    20,522.58/30,785.62 = 6,478.85/x
  3. Step 3: Cross multiply
    20,522.58x = 30,785.62 × 6,478.85
  4. Step 4: Simplify right side
    20,522.58x = 199,455,381.74
  5. Step 5: Solve for x
    x = 199,455,381.74/20,522.58
  6. Step 6: Final answer
    x = 9,718.83

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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.