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Finding the Fourth Proportional to 12,854.28, 19,274.50 and 6,934.34

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Solution

The fourth proportional to 12,854.28, 19,274.50 and 6,934.34 is: 10,397.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,854.28 : 19,274.50 = 6,934.34 : x
  2. Step 2: Convert to fraction form
    12,854.28/19,274.50 = 6,934.34/x
  3. Step 3: Cross multiply
    12,854.28x = 19,274.50 × 6,934.34
  4. Step 4: Simplify right side
    12,854.28x = 133,655,901.66
  5. Step 5: Solve for x
    x = 133,655,901.66/12,854.28
  6. Step 6: Final answer
    x = 10,397.78

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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.