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Finding the Fourth Proportional to 26,434.20, 36,460.08 and 22,449

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Solution

The fourth proportional to 26,434.20, 36,460.08 and 22,449 is: 30,963.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,434.20 : 36,460.08 = 22,449 : x
  2. Step 2: Convert to fraction form
    26,434.20/36,460.08 = 22,449/x
  3. Step 3: Cross multiply
    26,434.20x = 36,460.08 × 22,449
  4. Step 4: Simplify right side
    26,434.20x = 818,492,335.92
  5. Step 5: Solve for x
    x = 818,492,335.92/26,434.20
  6. Step 6: Final answer
    x = 30,963.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.