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Finding the Fourth Proportional to 27,713.40, 38,257.07 and 17,655.63

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Solution

The fourth proportional to 27,713.40, 38,257.07 and 17,655.63 is: 24,372.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,713.40 : 38,257.07 = 17,655.63 : x
  2. Step 2: Convert to fraction form
    27,713.40/38,257.07 = 17,655.63/x
  3. Step 3: Cross multiply
    27,713.40x = 38,257.07 × 17,655.63
  4. Step 4: Simplify right side
    27,713.40x = 675,452,672.80
  5. Step 5: Solve for x
    x = 675,452,672.80/27,713.40
  6. Step 6: Final answer
    x = 24,372.78

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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.