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Finding the Fourth Proportional to 13,381.86, 20,109.11 and 7,146.21

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Solution

The fourth proportional to 13,381.86, 20,109.11 and 7,146.21 is: 10,738.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381.86 : 20,109.11 = 7,146.21 : x
  2. Step 2: Convert to fraction form
    13,381.86/20,109.11 = 7,146.21/x
  3. Step 3: Cross multiply
    13,381.86x = 20,109.11 × 7,146.21
  4. Step 4: Simplify right side
    13,381.86x = 143,703,887.24
  5. Step 5: Solve for x
    x = 143,703,887.24/13,381.86
  6. Step 6: Final answer
    x = 10,738.71

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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.