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Finding the Fourth Proportional to 27,580.51, 38,054.46 and 16,249.13

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Solution

The fourth proportional to 27,580.51, 38,054.46 and 16,249.13 is: 22,419.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,580.51 : 38,054.46 = 16,249.13 : x
  2. Step 2: Convert to fraction form
    27,580.51/38,054.46 = 16,249.13/x
  3. Step 3: Cross multiply
    27,580.51x = 38,054.46 × 16,249.13
  4. Step 4: Simplify right side
    27,580.51x = 618,351,867.62
  5. Step 5: Solve for x
    x = 618,351,867.62/27,580.51
  6. Step 6: Final answer
    x = 22,419.89

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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.