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Finding the Fourth Proportional to 14,089.75, 19,443.81 and 8,121.38

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Solution

The fourth proportional to 14,089.75, 19,443.81 and 8,121.38 is: 11,207.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,089.75 : 19,443.81 = 8,121.38 : x
  2. Step 2: Convert to fraction form
    14,089.75/19,443.81 = 8,121.38/x
  3. Step 3: Cross multiply
    14,089.75x = 19,443.81 × 8,121.38
  4. Step 4: Simplify right side
    14,089.75x = 157,910,569.66
  5. Step 5: Solve for x
    x = 157,910,569.66/14,089.75
  6. Step 6: Final answer
    x = 11,207.48

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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.