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Finding the Fourth Proportional to 12,148.66, 16,764.06 and 6,844.33

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Solution

The fourth proportional to 12,148.66, 16,764.06 and 6,844.33 is: 9,444.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148.66 : 16,764.06 = 6,844.33 : x
  2. Step 2: Convert to fraction form
    12,148.66/16,764.06 = 6,844.33/x
  3. Step 3: Cross multiply
    12,148.66x = 16,764.06 × 6,844.33
  4. Step 4: Simplify right side
    12,148.66x = 114,738,758.78
  5. Step 5: Solve for x
    x = 114,738,758.78/12,148.66
  6. Step 6: Final answer
    x = 9,444.56

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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.