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Finding the Fourth Proportional to 20,702.74, 31,057.02 and 8,224.03

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Solution

The fourth proportional to 20,702.74, 31,057.02 and 8,224.03 is: 12,337.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,702.74 : 31,057.02 = 8,224.03 : x
  2. Step 2: Convert to fraction form
    20,702.74/31,057.02 = 8,224.03/x
  3. Step 3: Cross multiply
    20,702.74x = 31,057.02 × 8,224.03
  4. Step 4: Simplify right side
    20,702.74x = 255,413,903.01
  5. Step 5: Solve for x
    x = 255,413,903.01/20,702.74
  6. Step 6: Final answer
    x = 12,337.20

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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.