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Finding the Fourth Proportional to 43,402.93, 65,109 and 13,813.85

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Solution

The fourth proportional to 43,402.93, 65,109 and 13,813.85 is: 20,722.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,402.93 : 65,109 = 13,813.85 : x
  2. Step 2: Convert to fraction form
    43,402.93/65,109 = 13,813.85/x
  3. Step 3: Cross multiply
    43,402.93x = 65,109 × 13,813.85
  4. Step 4: Simplify right side
    43,402.93x = 899,405,634.11
  5. Step 5: Solve for x
    x = 899,405,634.11/43,402.93
  6. Step 6: Final answer
    x = 20,722.24

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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.