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Finding the Fourth Proportional to 23,232.91, 32,062.99 and 13,161.43

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Solution

The fourth proportional to 23,232.91, 32,062.99 and 13,161.43 is: 18,163.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,232.91 : 32,062.99 = 13,161.43 : x
  2. Step 2: Convert to fraction form
    23,232.91/32,062.99 = 13,161.43/x
  3. Step 3: Cross multiply
    23,232.91x = 32,062.99 × 13,161.43
  4. Step 4: Simplify right side
    23,232.91x = 421,994,638.16
  5. Step 5: Solve for x
    x = 421,994,638.16/23,232.91
  6. Step 6: Final answer
    x = 18,163.66

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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.