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Finding the Fourth Proportional to 12,656.86, 17,466.60 and 6,991.75

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Solution

The fourth proportional to 12,656.86, 17,466.60 and 6,991.75 is: 9,648.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,656.86 : 17,466.60 = 6,991.75 : x
  2. Step 2: Convert to fraction form
    12,656.86/17,466.60 = 6,991.75/x
  3. Step 3: Cross multiply
    12,656.86x = 17,466.60 × 6,991.75
  4. Step 4: Simplify right side
    12,656.86x = 122,122,100.55
  5. Step 5: Solve for x
    x = 122,122,100.55/12,656.86
  6. Step 6: Final answer
    x = 9,648.69

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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.