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Finding the Fourth Proportional to 20,702.20, 31,073.90 and 9,611.40

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Solution

The fourth proportional to 20,702.20, 31,073.90 and 9,611.40 is: 14,426.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,702.20 : 31,073.90 = 9,611.40 : x
  2. Step 2: Convert to fraction form
    20,702.20/31,073.90 = 9,611.40/x
  3. Step 3: Cross multiply
    20,702.20x = 31,073.90 × 9,611.40
  4. Step 4: Simplify right side
    20,702.20x = 298,663,682.46
  5. Step 5: Solve for x
    x = 298,663,682.46/20,702.20
  6. Step 6: Final answer
    x = 14,426.66

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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.