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Finding the Fourth Proportional to 12,658.88, 17,469.14 and 6,993.62

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Solution

The fourth proportional to 12,658.88, 17,469.14 and 6,993.62 is: 9,651.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658.88 : 17,469.14 = 6,993.62 : x
  2. Step 2: Convert to fraction form
    12,658.88/17,469.14 = 6,993.62/x
  3. Step 3: Cross multiply
    12,658.88x = 17,469.14 × 6,993.62
  4. Step 4: Simplify right side
    12,658.88x = 122,172,526.89
  5. Step 5: Solve for x
    x = 122,172,526.89/12,658.88
  6. Step 6: Final answer
    x = 9,651.13

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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.