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Finding the Fourth Proportional to 18,713.38, 25,825.22 and 10,216.07

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Solution

The fourth proportional to 18,713.38, 25,825.22 and 10,216.07 is: 14,098.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,713.38 : 25,825.22 = 10,216.07 : x
  2. Step 2: Convert to fraction form
    18,713.38/25,825.22 = 10,216.07/x
  3. Step 3: Cross multiply
    18,713.38x = 25,825.22 × 10,216.07
  4. Step 4: Simplify right side
    18,713.38x = 263,832,255.29
  5. Step 5: Solve for x
    x = 263,832,255.29/18,713.38
  6. Step 6: Final answer
    x = 14,098.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.