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Finding the Fourth Proportional to 27,642.84, 38,120.32 and 17,553.48

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Solution

The fourth proportional to 27,642.84, 38,120.32 and 17,553.48 is: 24,206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,642.84 : 38,120.32 = 17,553.48 : x
  2. Step 2: Convert to fraction form
    27,642.84/38,120.32 = 17,553.48/x
  3. Step 3: Cross multiply
    27,642.84x = 38,120.32 × 17,553.48
  4. Step 4: Simplify right side
    27,642.84x = 669,144,274.71
  5. Step 5: Solve for x
    x = 669,144,274.71/27,642.84
  6. Step 6: Final answer
    x = 24,206.78

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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.