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Finding the Fourth Proportional to 38,492.10, 57,738.15 and 12,196.80

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Solution

The fourth proportional to 38,492.10, 57,738.15 and 12,196.80 is: 18,295.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,492.10 : 57,738.15 = 12,196.80 : x
  2. Step 2: Convert to fraction form
    38,492.10/57,738.15 = 12,196.80/x
  3. Step 3: Cross multiply
    38,492.10x = 57,738.15 × 12,196.80
  4. Step 4: Simplify right side
    38,492.10x = 704,220,667.92
  5. Step 5: Solve for x
    x = 704,220,667.92/38,492.10
  6. Step 6: Final answer
    x = 18,295.20

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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.