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Finding the Fourth Proportional to 38,493.70, 57,740.49 and 12,196.39

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Solution

The fourth proportional to 38,493.70, 57,740.49 and 12,196.39 is: 18,294.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,493.70 : 57,740.49 = 12,196.39 : x
  2. Step 2: Convert to fraction form
    38,493.70/57,740.49 = 12,196.39/x
  3. Step 3: Cross multiply
    38,493.70x = 57,740.49 × 12,196.39
  4. Step 4: Simplify right side
    38,493.70x = 704,225,498.74
  5. Step 5: Solve for x
    x = 704,225,498.74/38,493.70
  6. Step 6: Final answer
    x = 18,294.57

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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.