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Finding the Fourth Proportional to 13,301.86, 18,363.97 and 9,713.24

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Solution

The fourth proportional to 13,301.86, 18,363.97 and 9,713.24 is: 13,409.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,301.86 : 18,363.97 = 9,713.24 : x
  2. Step 2: Convert to fraction form
    13,301.86/18,363.97 = 9,713.24/x
  3. Step 3: Cross multiply
    13,301.86x = 18,363.97 × 9,713.24
  4. Step 4: Simplify right side
    13,301.86x = 178,373,634.16
  5. Step 5: Solve for x
    x = 178,373,634.16/13,301.86
  6. Step 6: Final answer
    x = 13,409.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.