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Finding the Fourth Proportional to 14,375.29, 19,837.76 and 8,001.78

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Solution

The fourth proportional to 14,375.29, 19,837.76 and 8,001.78 is: 11,042.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,375.29 : 19,837.76 = 8,001.78 : x
  2. Step 2: Convert to fraction form
    14,375.29/19,837.76 = 8,001.78/x
  3. Step 3: Cross multiply
    14,375.29x = 19,837.76 × 8,001.78
  4. Step 4: Simplify right side
    14,375.29x = 158,737,391.21
  5. Step 5: Solve for x
    x = 158,737,391.21/14,375.29
  6. Step 6: Final answer
    x = 11,042.38

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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.