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Finding the Fourth Proportional to 12,813.05, 19,197.69 and 6,959.18

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Solution

The fourth proportional to 12,813.05, 19,197.69 and 6,959.18 is: 10,426.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.05 : 19,197.69 = 6,959.18 : x
  2. Step 2: Convert to fraction form
    12,813.05/19,197.69 = 6,959.18/x
  3. Step 3: Cross multiply
    12,813.05x = 19,197.69 × 6,959.18
  4. Step 4: Simplify right side
    12,813.05x = 133,600,084.31
  5. Step 5: Solve for x
    x = 133,600,084.31/12,813.05
  6. Step 6: Final answer
    x = 10,426.88

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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.