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Finding the Fourth Proportional to 13,806.96, 20,702.14 and 6,206.85

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Solution

The fourth proportional to 13,806.96, 20,702.14 and 6,206.85 is: 9,306.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806.96 : 20,702.14 = 6,206.85 : x
  2. Step 2: Convert to fraction form
    13,806.96/20,702.14 = 6,206.85/x
  3. Step 3: Cross multiply
    13,806.96x = 20,702.14 × 6,206.85
  4. Step 4: Simplify right side
    13,806.96x = 128,495,062.14
  5. Step 5: Solve for x
    x = 128,495,062.14/13,806.96
  6. Step 6: Final answer
    x = 9,306.54

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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.