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Finding the Fourth Proportional to 12,657.26, 17,466.67 and 6,992.42

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Solution

The fourth proportional to 12,657.26, 17,466.67 and 6,992.42 is: 9,649.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.26 : 17,466.67 = 6,992.42 : x
  2. Step 2: Convert to fraction form
    12,657.26/17,466.67 = 6,992.42/x
  3. Step 3: Cross multiply
    12,657.26x = 17,466.67 × 6,992.42
  4. Step 4: Simplify right side
    12,657.26x = 122,134,292.64
  5. Step 5: Solve for x
    x = 122,134,292.64/12,657.26
  6. Step 6: Final answer
    x = 9,649.35

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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.