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Finding the Fourth Proportional to 27,832.72, 38,408.88 and 15,257.44

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Solution

The fourth proportional to 27,832.72, 38,408.88 and 15,257.44 is: 21,055.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,832.72 : 38,408.88 = 15,257.44 : x
  2. Step 2: Convert to fraction form
    27,832.72/38,408.88 = 15,257.44/x
  3. Step 3: Cross multiply
    27,832.72x = 38,408.88 × 15,257.44
  4. Step 4: Simplify right side
    27,832.72x = 586,021,182.07
  5. Step 5: Solve for x
    x = 586,021,182.07/27,832.72
  6. Step 6: Final answer
    x = 21,055.12

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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.