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Finding the Fourth Proportional to 38,496.24, 57,727.08 and 12,196.08

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Solution

The fourth proportional to 38,496.24, 57,727.08 and 12,196.08 is: 18,288.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,496.24 : 57,727.08 = 12,196.08 : x
  2. Step 2: Convert to fraction form
    38,496.24/57,727.08 = 12,196.08/x
  3. Step 3: Cross multiply
    38,496.24x = 57,727.08 × 12,196.08
  4. Step 4: Simplify right side
    38,496.24x = 704,044,085.85
  5. Step 5: Solve for x
    x = 704,044,085.85/38,496.24
  6. Step 6: Final answer
    x = 18,288.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.