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Finding the Fourth Proportional to 26,031.38, 39,047.06 and 10,449

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Solution

The fourth proportional to 26,031.38, 39,047.06 and 10,449 is: 15,673.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,031.38 : 39,047.06 = 10,449 : x
  2. Step 2: Convert to fraction form
    26,031.38/39,047.06 = 10,449/x
  3. Step 3: Cross multiply
    26,031.38x = 39,047.06 × 10,449
  4. Step 4: Simplify right side
    26,031.38x = 408,002,756.06
  5. Step 5: Solve for x
    x = 408,002,756.06/26,031.38
  6. Step 6: Final answer
    x = 15,673.50

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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.