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Finding the Fourth Proportional to 13,773.40, 20,645.66 and 6,743.72

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Solution

The fourth proportional to 13,773.40, 20,645.66 and 6,743.72 is: 10,108.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,773.40 : 20,645.66 = 6,743.72 : x
  2. Step 2: Convert to fraction form
    13,773.40/20,645.66 = 6,743.72/x
  3. Step 3: Cross multiply
    13,773.40x = 20,645.66 × 6,743.72
  4. Step 4: Simplify right side
    13,773.40x = 139,228,550.26
  5. Step 5: Solve for x
    x = 139,228,550.26/13,773.40
  6. Step 6: Final answer
    x = 10,108.51

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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.