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Finding the Fourth Proportional to 27,716.97, 38,249.41 and 14,970.16

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Solution

The fourth proportional to 27,716.97, 38,249.41 and 14,970.16 is: 20,658.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,716.97 : 38,249.41 = 14,970.16 : x
  2. Step 2: Convert to fraction form
    27,716.97/38,249.41 = 14,970.16/x
  3. Step 3: Cross multiply
    27,716.97x = 38,249.41 × 14,970.16
  4. Step 4: Simplify right side
    27,716.97x = 572,599,521.51
  5. Step 5: Solve for x
    x = 572,599,521.51/27,716.97
  6. Step 6: Final answer
    x = 20,658.81

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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.