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Finding the Fourth Proportional to 12,150.84, 16,769.12 and 6,846.15

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Solution

The fourth proportional to 12,150.84, 16,769.12 and 6,846.15 is: 9,448.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,150.84 : 16,769.12 = 6,846.15 : x
  2. Step 2: Convert to fraction form
    12,150.84/16,769.12 = 6,846.15/x
  3. Step 3: Cross multiply
    12,150.84x = 16,769.12 × 6,846.15
  4. Step 4: Simplify right side
    12,150.84x = 114,803,876.66
  5. Step 5: Solve for x
    x = 114,803,876.66/12,150.84
  6. Step 6: Final answer
    x = 9,448.23

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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.