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Finding the Fourth Proportional to 38,435.49, 57,658.59 and 13,469.76

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Solution

The fourth proportional to 38,435.49, 57,658.59 and 13,469.76 is: 20,206.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,435.49 : 57,658.59 = 13,469.76 : x
  2. Step 2: Convert to fraction form
    38,435.49/57,658.59 = 13,469.76/x
  3. Step 3: Cross multiply
    38,435.49x = 57,658.59 × 13,469.76
  4. Step 4: Simplify right side
    38,435.49x = 776,647,369.24
  5. Step 5: Solve for x
    x = 776,647,369.24/38,435.49
  6. Step 6: Final answer
    x = 20,206.52

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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.