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Finding the Fourth Proportional to 17,832.29, 24,608.39 and 10,275.84

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Solution

The fourth proportional to 17,832.29, 24,608.39 and 10,275.84 is: 14,180.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,832.29 : 24,608.39 = 10,275.84 : x
  2. Step 2: Convert to fraction form
    17,832.29/24,608.39 = 10,275.84/x
  3. Step 3: Cross multiply
    17,832.29x = 24,608.39 × 10,275.84
  4. Step 4: Simplify right side
    17,832.29x = 252,871,826.92
  5. Step 5: Solve for x
    x = 252,871,826.92/17,832.29
  6. Step 6: Final answer
    x = 14,180.56

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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.