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Finding the Fourth Proportional to 17,642.31, 26,428.87 and 10,231.20

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Solution

The fourth proportional to 17,642.31, 26,428.87 and 10,231.20 is: 15,326.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,642.31 : 26,428.87 = 10,231.20 : x
  2. Step 2: Convert to fraction form
    17,642.31/26,428.87 = 10,231.20/x
  3. Step 3: Cross multiply
    17,642.31x = 26,428.87 × 10,231.20
  4. Step 4: Simplify right side
    17,642.31x = 270,399,050.15
  5. Step 5: Solve for x
    x = 270,399,050.15/17,642.31
  6. Step 6: Final answer
    x = 15,326.74

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1.5x scale

Why These Related Problems?

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