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Finding the Fourth Proportional to 25,832.39, 38,723.81 and 8,290.22

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Solution

The fourth proportional to 25,832.39, 38,723.81 and 8,290.22 is: 12,427.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,832.39 : 38,723.81 = 8,290.22 : x
  2. Step 2: Convert to fraction form
    25,832.39/38,723.81 = 8,290.22/x
  3. Step 3: Cross multiply
    25,832.39x = 38,723.81 × 8,290.22
  4. Step 4: Simplify right side
    25,832.39x = 321,028,669.07
  5. Step 5: Solve for x
    x = 321,028,669.07/25,832.39
  6. Step 6: Final answer
    x = 12,427.37

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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.