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Finding the Fourth Proportional to 12,793.68, 19,196.28 and 6,941.52

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Solution

The fourth proportional to 12,793.68, 19,196.28 and 6,941.52 is: 10,415.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,793.68 : 19,196.28 = 6,941.52 : x
  2. Step 2: Convert to fraction form
    12,793.68/19,196.28 = 6,941.52/x
  3. Step 3: Cross multiply
    12,793.68x = 19,196.28 × 6,941.52
  4. Step 4: Simplify right side
    12,793.68x = 133,251,361.55
  5. Step 5: Solve for x
    x = 133,251,361.55/12,793.68
  6. Step 6: Final answer
    x = 10,415.41

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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.