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Finding the Fourth Proportional to 25,876.67, 38,805.47 and 9,232.25

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Solution

The fourth proportional to 25,876.67, 38,805.47 and 9,232.25 is: 13,844.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,876.67 : 38,805.47 = 9,232.25 : x
  2. Step 2: Convert to fraction form
    25,876.67/38,805.47 = 9,232.25/x
  3. Step 3: Cross multiply
    25,876.67x = 38,805.47 × 9,232.25
  4. Step 4: Simplify right side
    25,876.67x = 358,261,754.25
  5. Step 5: Solve for x
    x = 358,261,754.25/25,876.67
  6. Step 6: Final answer
    x = 13,844.97

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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.