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Finding the Fourth Proportional to 27,182, 37,507.92 and 15,853.88

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Solution

The fourth proportional to 27,182, 37,507.92 and 15,853.88 is: 21,876.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,182 : 37,507.92 = 15,853.88 : x
  2. Step 2: Convert to fraction form
    27,182/37,507.92 = 15,853.88/x
  3. Step 3: Cross multiply
    27,182x = 37,507.92 × 15,853.88
  4. Step 4: Simplify right side
    27,182x = 594,646,062.73
  5. Step 5: Solve for x
    x = 594,646,062.73/27,182
  6. Step 6: Final answer
    x = 21,876.46

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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.