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Finding the Fourth Proportional to 27,857.39, 38,443.80 and 15,282.14

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Solution

The fourth proportional to 27,857.39, 38,443.80 and 15,282.14 is: 21,089.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,857.39 : 38,443.80 = 15,282.14 : x
  2. Step 2: Convert to fraction form
    27,857.39/38,443.80 = 15,282.14/x
  3. Step 3: Cross multiply
    27,857.39x = 38,443.80 × 15,282.14
  4. Step 4: Simplify right side
    27,857.39x = 587,503,533.73
  5. Step 5: Solve for x
    x = 587,503,533.73/27,857.39
  6. Step 6: Final answer
    x = 21,089.68

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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.