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Finding the Fourth Proportional to 12,149.74, 16,766.70 and 6,844.66

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Solution

The fourth proportional to 12,149.74, 16,766.70 and 6,844.66 is: 9,445.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.74 : 16,766.70 = 6,844.66 : x
  2. Step 2: Convert to fraction form
    12,149.74/16,766.70 = 6,844.66/x
  3. Step 3: Cross multiply
    12,149.74x = 16,766.70 × 6,844.66
  4. Step 4: Simplify right side
    12,149.74x = 114,762,360.82
  5. Step 5: Solve for x
    x = 114,762,360.82/12,149.74
  6. Step 6: Final answer
    x = 9,445.66

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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.