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Finding the Fourth Proportional to 14,414.76, 19,891.38 and 8,365.18

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Solution

The fourth proportional to 14,414.76, 19,891.38 and 8,365.18 is: 11,543.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,414.76 : 19,891.38 = 8,365.18 : x
  2. Step 2: Convert to fraction form
    14,414.76/19,891.38 = 8,365.18/x
  3. Step 3: Cross multiply
    14,414.76x = 19,891.38 × 8,365.18
  4. Step 4: Simplify right side
    14,414.76x = 166,394,913.61
  5. Step 5: Solve for x
    x = 166,394,913.61/14,414.76
  6. Step 6: Final answer
    x = 11,543.37

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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.