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Finding the Fourth Proportional to 12,146.36, 16,761.40 and 6,769.08

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Solution

The fourth proportional to 12,146.36, 16,761.40 and 6,769.08 is: 9,341.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.36 : 16,761.40 = 6,769.08 : x
  2. Step 2: Convert to fraction form
    12,146.36/16,761.40 = 6,769.08/x
  3. Step 3: Cross multiply
    12,146.36x = 16,761.40 × 6,769.08
  4. Step 4: Simplify right side
    12,146.36x = 113,459,240.59
  5. Step 5: Solve for x
    x = 113,459,240.59/12,146.36
  6. Step 6: Final answer
    x = 9,341.01

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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.