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Finding the Fourth Proportional to 12,119.10, 16,717.23 and 7,634.94

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Solution

The fourth proportional to 12,119.10, 16,717.23 and 7,634.94 is: 10,531.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,119.10 : 16,717.23 = 7,634.94 : x
  2. Step 2: Convert to fraction form
    12,119.10/16,717.23 = 7,634.94/x
  3. Step 3: Cross multiply
    12,119.10x = 16,717.23 × 7,634.94
  4. Step 4: Simplify right side
    12,119.10x = 127,635,048.02
  5. Step 5: Solve for x
    x = 127,635,048.02/12,119.10
  6. Step 6: Final answer
    x = 10,531.73

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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.