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Finding the Fourth Proportional to 12,807.96, 17,674.90 and 7,142.76

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Solution

The fourth proportional to 12,807.96, 17,674.90 and 7,142.76 is: 9,856.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,807.96 : 17,674.90 = 7,142.76 : x
  2. Step 2: Convert to fraction form
    12,807.96/17,674.90 = 7,142.76/x
  3. Step 3: Cross multiply
    12,807.96x = 17,674.90 × 7,142.76
  4. Step 4: Simplify right side
    12,807.96x = 126,247,568.72
  5. Step 5: Solve for x
    x = 126,247,568.72/12,807.96
  6. Step 6: Final answer
    x = 9,856.96

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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.