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Finding the Fourth Proportional to 20,585.60, 30,857.58 and 8,114.42

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Solution

The fourth proportional to 20,585.60, 30,857.58 and 8,114.42 is: 12,163.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,585.60 : 30,857.58 = 8,114.42 : x
  2. Step 2: Convert to fraction form
    20,585.60/30,857.58 = 8,114.42/x
  3. Step 3: Cross multiply
    20,585.60x = 30,857.58 × 8,114.42
  4. Step 4: Simplify right side
    20,585.60x = 250,391,364.30
  5. Step 5: Solve for x
    x = 250,391,364.30/20,585.60
  6. Step 6: Final answer
    x = 12,163.42

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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.