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Finding the Fourth Proportional to 27,806.56, 41,726.08 and 10,288.64

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Solution

The fourth proportional to 27,806.56, 41,726.08 and 10,288.64 is: 15,438.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,806.56 : 41,726.08 = 10,288.64 : x
  2. Step 2: Convert to fraction form
    27,806.56/41,726.08 = 10,288.64/x
  3. Step 3: Cross multiply
    27,806.56x = 41,726.08 × 10,288.64
  4. Step 4: Simplify right side
    27,806.56x = 429,304,615.73
  5. Step 5: Solve for x
    x = 429,304,615.73/27,806.56
  6. Step 6: Final answer
    x = 15,438.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.