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Finding the Fourth Proportional to 17,628.24, 26,465.82 and 10,238

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Solution

The fourth proportional to 17,628.24, 26,465.82 and 10,238 is: 15,370.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,628.24 : 26,465.82 = 10,238 : x
  2. Step 2: Convert to fraction form
    17,628.24/26,465.82 = 10,238/x
  3. Step 3: Cross multiply
    17,628.24x = 26,465.82 × 10,238
  4. Step 4: Simplify right side
    17,628.24x = 270,957,065.16
  5. Step 5: Solve for x
    x = 270,957,065.16/17,628.24
  6. Step 6: Final answer
    x = 15,370.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.