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Finding the Fourth Proportional to 27,853.72, 38,436 and 15,278.44

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Solution

The fourth proportional to 27,853.72, 38,436 and 15,278.44 is: 21,083.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,853.72 : 38,436 = 15,278.44 : x
  2. Step 2: Convert to fraction form
    27,853.72/38,436 = 15,278.44/x
  3. Step 3: Cross multiply
    27,853.72x = 38,436 × 15,278.44
  4. Step 4: Simplify right side
    27,853.72x = 587,242,119.84
  5. Step 5: Solve for x
    x = 587,242,119.84/27,853.72
  6. Step 6: Final answer
    x = 21,083.08

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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.