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Finding the Fourth Proportional to 27,665.49, 38,175.80 and 15,726.49

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Solution

The fourth proportional to 27,665.49, 38,175.80 and 15,726.49 is: 21,701.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,665.49 : 38,175.80 = 15,726.49 : x
  2. Step 2: Convert to fraction form
    27,665.49/38,175.80 = 15,726.49/x
  3. Step 3: Cross multiply
    27,665.49x = 38,175.80 × 15,726.49
  4. Step 4: Simplify right side
    27,665.49x = 600,371,336.94
  5. Step 5: Solve for x
    x = 600,371,336.94/27,665.49
  6. Step 6: Final answer
    x = 21,701.09

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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.