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Finding the Fourth Proportional to 12,808.12, 17,672.19 and 7,772.22

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Solution

The fourth proportional to 12,808.12, 17,672.19 and 7,772.22 is: 10,723.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,808.12 : 17,672.19 = 7,772.22 : x
  2. Step 2: Convert to fraction form
    12,808.12/17,672.19 = 7,772.22/x
  3. Step 3: Cross multiply
    12,808.12x = 17,672.19 × 7,772.22
  4. Step 4: Simplify right side
    12,808.12x = 137,352,243.98
  5. Step 5: Solve for x
    x = 137,352,243.98/12,808.12
  6. Step 6: Final answer
    x = 10,723.84

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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.