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Finding the Fourth Proportional to 12,151.41, 16,769.15 and 6,846.31

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Solution

The fourth proportional to 12,151.41, 16,769.15 and 6,846.31 is: 9,448.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,151.41 : 16,769.15 = 6,846.31 : x
  2. Step 2: Convert to fraction form
    12,151.41/16,769.15 = 6,846.31/x
  3. Step 3: Cross multiply
    12,151.41x = 16,769.15 × 6,846.31
  4. Step 4: Simplify right side
    12,151.41x = 114,806,799.34
  5. Step 5: Solve for x
    x = 114,806,799.34/12,151.41
  6. Step 6: Final answer
    x = 9,448.02

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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.