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Finding the Fourth Proportional to 12,729.32, 19,086.98 and 6,813.15

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Solution

The fourth proportional to 12,729.32, 19,086.98 and 6,813.15 is: 10,215.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,729.32 : 19,086.98 = 6,813.15 : x
  2. Step 2: Convert to fraction form
    12,729.32/19,086.98 = 6,813.15/x
  3. Step 3: Cross multiply
    12,729.32x = 19,086.98 × 6,813.15
  4. Step 4: Simplify right side
    12,729.32x = 130,042,352.15
  5. Step 5: Solve for x
    x = 130,042,352.15/12,729.32
  6. Step 6: Final answer
    x = 10,215.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.