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Finding the Fourth Proportional to 17,718.75, 24,449.84 and 10,163

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Solution

The fourth proportional to 17,718.75, 24,449.84 and 10,163 is: 14,023.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,718.75 : 24,449.84 = 10,163 : x
  2. Step 2: Convert to fraction form
    17,718.75/24,449.84 = 10,163/x
  3. Step 3: Cross multiply
    17,718.75x = 24,449.84 × 10,163
  4. Step 4: Simplify right side
    17,718.75x = 248,483,723.92
  5. Step 5: Solve for x
    x = 248,483,723.92/17,718.75
  6. Step 6: Final answer
    x = 14,023.77

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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.