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Finding the Fourth Proportional to 27,601.36, 38,083.40 and 15,662

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Solution

The fourth proportional to 27,601.36, 38,083.40 and 15,662 is: 21,609.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,601.36 : 38,083.40 = 15,662 : x
  2. Step 2: Convert to fraction form
    27,601.36/38,083.40 = 15,662/x
  3. Step 3: Cross multiply
    27,601.36x = 38,083.40 × 15,662
  4. Step 4: Simplify right side
    27,601.36x = 596,462,210.80
  5. Step 5: Solve for x
    x = 596,462,210.80/27,601.36
  6. Step 6: Final answer
    x = 21,609.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.