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Finding the Fourth Proportional to 12,119.25, 16,724.84 and 7,406.13

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Solution

The fourth proportional to 12,119.25, 16,724.84 and 7,406.13 is: 10,220.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,119.25 : 16,724.84 = 7,406.13 : x
  2. Step 2: Convert to fraction form
    12,119.25/16,724.84 = 7,406.13/x
  3. Step 3: Cross multiply
    12,119.25x = 16,724.84 × 7,406.13
  4. Step 4: Simplify right side
    12,119.25x = 123,866,339.27
  5. Step 5: Solve for x
    x = 123,866,339.27/12,119.25
  6. Step 6: Final answer
    x = 10,220.63

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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.