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Finding the Fourth Proportional to 20,702.61, 31,033.67 and 8,218.49

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Solution

The fourth proportional to 20,702.61, 31,033.67 and 8,218.49 is: 12,319.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,702.61 : 31,033.67 = 8,218.49 : x
  2. Step 2: Convert to fraction form
    20,702.61/31,033.67 = 8,218.49/x
  3. Step 3: Cross multiply
    20,702.61x = 31,033.67 × 8,218.49
  4. Step 4: Simplify right side
    20,702.61x = 255,049,710.30
  5. Step 5: Solve for x
    x = 255,049,710.30/20,702.61
  6. Step 6: Final answer
    x = 12,319.69

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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.