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Finding the Fourth Proportional to 13,658.33, 18,859.87 and 9,196.85

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Solution

The fourth proportional to 13,658.33, 18,859.87 and 9,196.85 is: 12,699.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,658.33 : 18,859.87 = 9,196.85 : x
  2. Step 2: Convert to fraction form
    13,658.33/18,859.87 = 9,196.85/x
  3. Step 3: Cross multiply
    13,658.33x = 18,859.87 × 9,196.85
  4. Step 4: Simplify right side
    13,658.33x = 173,451,454.06
  5. Step 5: Solve for x
    x = 173,451,454.06/13,658.33
  6. Step 6: Final answer
    x = 12,699.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.