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Finding the Fourth Proportional to 12,807.33, 17,674.16 and 7,142.05

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Solution

The fourth proportional to 12,807.33, 17,674.16 and 7,142.05 is: 9,856.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,807.33 : 17,674.16 = 7,142.05 : x
  2. Step 2: Convert to fraction form
    12,807.33/17,674.16 = 7,142.05/x
  3. Step 3: Cross multiply
    12,807.33x = 17,674.16 × 7,142.05
  4. Step 4: Simplify right side
    12,807.33x = 126,229,734.43
  5. Step 5: Solve for x
    x = 126,229,734.43/12,807.33
  6. Step 6: Final answer
    x = 9,856.05

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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.