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Finding the Fourth Proportional to 20,731.27, 31,077.60 and 8,248.90

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Solution

The fourth proportional to 20,731.27, 31,077.60 and 8,248.90 is: 12,365.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,731.27 : 31,077.60 = 8,248.90 : x
  2. Step 2: Convert to fraction form
    20,731.27/31,077.60 = 8,248.90/x
  3. Step 3: Cross multiply
    20,731.27x = 31,077.60 × 8,248.90
  4. Step 4: Simplify right side
    20,731.27x = 256,356,014.64
  5. Step 5: Solve for x
    x = 256,356,014.64/20,731.27
  6. Step 6: Final answer
    x = 12,365.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.