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Finding the Fourth Proportional to 27,809.84, 38,418.36 and 22,539.44

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Solution

The fourth proportional to 27,809.84, 38,418.36 and 22,539.44 is: 31,137.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,809.84 : 38,418.36 = 22,539.44 : x
  2. Step 2: Convert to fraction form
    27,809.84/38,418.36 = 22,539.44/x
  3. Step 3: Cross multiply
    27,809.84x = 38,418.36 × 22,539.44
  4. Step 4: Simplify right side
    27,809.84x = 865,928,320.12
  5. Step 5: Solve for x
    x = 865,928,320.12/27,809.84
  6. Step 6: Final answer
    x = 31,137.48

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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.