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Finding the Fourth Proportional to 27,712.40, 38,255.69 and 17,654.63

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Solution

The fourth proportional to 27,712.40, 38,255.69 and 17,654.63 is: 24,371.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,712.40 : 38,255.69 = 17,654.63 : x
  2. Step 2: Convert to fraction form
    27,712.40/38,255.69 = 17,654.63/x
  3. Step 3: Cross multiply
    27,712.40x = 38,255.69 × 17,654.63
  4. Step 4: Simplify right side
    27,712.40x = 675,389,905.20
  5. Step 5: Solve for x
    x = 675,389,905.20/27,712.40
  6. Step 6: Final answer
    x = 24,371.40

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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.