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Finding the Fourth Proportional to 14,374.38, 19,838.46 and 8,087.97

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Solution

The fourth proportional to 14,374.38, 19,838.46 and 8,087.97 is: 11,162.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,374.38 : 19,838.46 = 8,087.97 : x
  2. Step 2: Convert to fraction form
    14,374.38/19,838.46 = 8,087.97/x
  3. Step 3: Cross multiply
    14,374.38x = 19,838.46 × 8,087.97
  4. Step 4: Simplify right side
    14,374.38x = 160,452,869.33
  5. Step 5: Solve for x
    x = 160,452,869.33/14,374.38
  6. Step 6: Final answer
    x = 11,162.42

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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.