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Finding the Fourth Proportional to 12,658.44, 17,468.57 and 6,993.57

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Solution

The fourth proportional to 12,658.44, 17,468.57 and 6,993.57 is: 9,651.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658.44 : 17,468.57 = 6,993.57 : x
  2. Step 2: Convert to fraction form
    12,658.44/17,468.57 = 6,993.57/x
  3. Step 3: Cross multiply
    12,658.44x = 17,468.57 × 6,993.57
  4. Step 4: Simplify right side
    12,658.44x = 122,167,632.13
  5. Step 5: Solve for x
    x = 122,167,632.13/12,658.44
  6. Step 6: Final answer
    x = 9,651.08

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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.