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Finding the Fourth Proportional to 38,435.20, 57,658.80 and 12,137.44

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Solution

The fourth proportional to 38,435.20, 57,658.80 and 12,137.44 is: 18,208.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,435.20 : 57,658.80 = 12,137.44 : x
  2. Step 2: Convert to fraction form
    38,435.20/57,658.80 = 12,137.44/x
  3. Step 3: Cross multiply
    38,435.20x = 57,658.80 × 12,137.44
  4. Step 4: Simplify right side
    38,435.20x = 699,830,225.47
  5. Step 5: Solve for x
    x = 699,830,225.47/38,435.20
  6. Step 6: Final answer
    x = 18,208.05

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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.