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Finding the Fourth Proportional to 20,812.25, 31,218.41 and 8,500.25

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Solution

The fourth proportional to 20,812.25, 31,218.41 and 8,500.25 is: 12,750.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,812.25 : 31,218.41 = 8,500.25 : x
  2. Step 2: Convert to fraction form
    20,812.25/31,218.41 = 8,500.25/x
  3. Step 3: Cross multiply
    20,812.25x = 31,218.41 × 8,500.25
  4. Step 4: Simplify right side
    20,812.25x = 265,364,247.10
  5. Step 5: Solve for x
    x = 265,364,247.10/20,812.25
  6. Step 6: Final answer
    x = 12,750.39

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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.