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Finding the Fourth Proportional to 12,657.15, 17,466.42 and 6,991.80

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Solution

The fourth proportional to 12,657.15, 17,466.42 and 6,991.80 is: 9,648.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.15 : 17,466.42 = 6,991.80 : x
  2. Step 2: Convert to fraction form
    12,657.15/17,466.42 = 6,991.80/x
  3. Step 3: Cross multiply
    12,657.15x = 17,466.42 × 6,991.80
  4. Step 4: Simplify right side
    12,657.15x = 122,121,715.36
  5. Step 5: Solve for x
    x = 122,121,715.36/12,657.15
  6. Step 6: Final answer
    x = 9,648.44

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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.