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Finding the Fourth Proportional to 25,243.88, 37,864.86 and 10,449

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Solution

The fourth proportional to 25,243.88, 37,864.86 and 10,449 is: 15,673.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,243.88 : 37,864.86 = 10,449 : x
  2. Step 2: Convert to fraction form
    25,243.88/37,864.86 = 10,449/x
  3. Step 3: Cross multiply
    25,243.88x = 37,864.86 × 10,449
  4. Step 4: Simplify right side
    25,243.88x = 395,649,922.14
  5. Step 5: Solve for x
    x = 395,649,922.14/25,243.88
  6. Step 6: Final answer
    x = 15,673.10

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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.