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Finding the Fourth Proportional to 13,800.22, 20,702.85 and 6,403.66

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Solution

The fourth proportional to 13,800.22, 20,702.85 and 6,403.66 is: 9,606.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,800.22 : 20,702.85 = 6,403.66 : x
  2. Step 2: Convert to fraction form
    13,800.22/20,702.85 = 6,403.66/x
  3. Step 3: Cross multiply
    13,800.22x = 20,702.85 × 6,403.66
  4. Step 4: Simplify right side
    13,800.22x = 132,574,012.43
  5. Step 5: Solve for x
    x = 132,574,012.43/13,800.22
  6. Step 6: Final answer
    x = 9,606.66

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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.