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Finding the Fourth Proportional to 17,718.75, 24,449.75 and 10,164.69

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Solution

The fourth proportional to 17,718.75, 24,449.75 and 10,164.69 is: 14,026.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,718.75 : 24,449.75 = 10,164.69 : x
  2. Step 2: Convert to fraction form
    17,718.75/24,449.75 = 10,164.69/x
  3. Step 3: Cross multiply
    17,718.75x = 24,449.75 × 10,164.69
  4. Step 4: Simplify right side
    17,718.75x = 248,524,078.50
  5. Step 5: Solve for x
    x = 248,524,078.50/17,718.75
  6. Step 6: Final answer
    x = 14,026.05

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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.