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Finding the Fourth Proportional to 14,162.38, 19,544.97 and 7,874.62

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Solution

The fourth proportional to 14,162.38, 19,544.97 and 7,874.62 is: 10,867.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,162.38 : 19,544.97 = 7,874.62 : x
  2. Step 2: Convert to fraction form
    14,162.38/19,544.97 = 7,874.62/x
  3. Step 3: Cross multiply
    14,162.38x = 19,544.97 × 7,874.62
  4. Step 4: Simplify right side
    14,162.38x = 153,909,211.66
  5. Step 5: Solve for x
    x = 153,909,211.66/14,162.38
  6. Step 6: Final answer
    x = 10,867.47

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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.