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Finding the Fourth Proportional to 25,661.88, 38,478.24 and 10,071

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Solution

The fourth proportional to 25,661.88, 38,478.24 and 10,071 is: 15,100.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,661.88 : 38,478.24 = 10,071 : x
  2. Step 2: Convert to fraction form
    25,661.88/38,478.24 = 10,071/x
  3. Step 3: Cross multiply
    25,661.88x = 38,478.24 × 10,071
  4. Step 4: Simplify right side
    25,661.88x = 387,514,355.04
  5. Step 5: Solve for x
    x = 387,514,355.04/25,661.88
  6. Step 6: Final answer
    x = 15,100.78

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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.