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Finding the Fourth Proportional to 20,584.86, 30,882.07 and 10,585.83

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Solution

The fourth proportional to 20,584.86, 30,882.07 and 10,585.83 is: 15,881.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,584.86 : 30,882.07 = 10,585.83 : x
  2. Step 2: Convert to fraction form
    20,584.86/30,882.07 = 10,585.83/x
  3. Step 3: Cross multiply
    20,584.86x = 30,882.07 × 10,585.83
  4. Step 4: Simplify right side
    20,584.86x = 326,912,343.07
  5. Step 5: Solve for x
    x = 326,912,343.07/20,584.86
  6. Step 6: Final answer
    x = 15,881.20

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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.