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Finding the Fourth Proportional to 20,702.10, 31,050.35 and 8,231.30

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Solution

The fourth proportional to 20,702.10, 31,050.35 and 8,231.30 is: 12,345.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,702.10 : 31,050.35 = 8,231.30 : x
  2. Step 2: Convert to fraction form
    20,702.10/31,050.35 = 8,231.30/x
  3. Step 3: Cross multiply
    20,702.10x = 31,050.35 × 8,231.30
  4. Step 4: Simplify right side
    20,702.10x = 255,584,745.96
  5. Step 5: Solve for x
    x = 255,584,745.96/20,702.10
  6. Step 6: Final answer
    x = 12,345.84

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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.