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Finding the Fourth Proportional to 20,825.50, 31,242.57 and 8,513.50

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Solution

The fourth proportional to 20,825.50, 31,242.57 and 8,513.50 is: 12,772.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,825.50 : 31,242.57 = 8,513.50 : x
  2. Step 2: Convert to fraction form
    20,825.50/31,242.57 = 8,513.50/x
  3. Step 3: Cross multiply
    20,825.50x = 31,242.57 × 8,513.50
  4. Step 4: Simplify right side
    20,825.50x = 265,983,619.70
  5. Step 5: Solve for x
    x = 265,983,619.70/20,825.50
  6. Step 6: Final answer
    x = 12,772.02

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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.