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Finding the Fourth Proportional to 19,812, 27,340.56 and 11,854.56

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Solution

The fourth proportional to 19,812, 27,340.56 and 11,854.56 is: 16,359.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,812 : 27,340.56 = 11,854.56 : x
  2. Step 2: Convert to fraction form
    19,812/27,340.56 = 11,854.56/x
  3. Step 3: Cross multiply
    19,812x = 27,340.56 × 11,854.56
  4. Step 4: Simplify right side
    19,812x = 324,110,308.95
  5. Step 5: Solve for x
    x = 324,110,308.95/19,812
  6. Step 6: Final answer
    x = 16,359.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.