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Finding the Fourth Proportional to 12,150.78, 16,767.60 and 6,846.66

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Solution

The fourth proportional to 12,150.78, 16,767.60 and 6,846.66 is: 9,448.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,150.78 : 16,767.60 = 6,846.66 : x
  2. Step 2: Convert to fraction form
    12,150.78/16,767.60 = 6,846.66/x
  3. Step 3: Cross multiply
    12,150.78x = 16,767.60 × 6,846.66
  4. Step 4: Simplify right side
    12,150.78x = 114,802,056.22
  5. Step 5: Solve for x
    x = 114,802,056.22/12,150.78
  6. Step 6: Final answer
    x = 9,448.12

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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.