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Finding the Fourth Proportional to 25,487.40, 38,224.62 and 7,959

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Solution

The fourth proportional to 25,487.40, 38,224.62 and 7,959 is: 11,936.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,487.40 : 38,224.62 = 7,959 : x
  2. Step 2: Convert to fraction form
    25,487.40/38,224.62 = 7,959/x
  3. Step 3: Cross multiply
    25,487.40x = 38,224.62 × 7,959
  4. Step 4: Simplify right side
    25,487.40x = 304,229,750.58
  5. Step 5: Solve for x
    x = 304,229,750.58/25,487.40
  6. Step 6: Final answer
    x = 11,936.48

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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.