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Finding the Fourth Proportional to 19,881.29, 29,814.62 and 5,837.71

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Solution

The fourth proportional to 19,881.29, 29,814.62 and 5,837.71 is: 8,754.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,881.29 : 29,814.62 = 5,837.71 : x
  2. Step 2: Convert to fraction form
    19,881.29/29,814.62 = 5,837.71/x
  3. Step 3: Cross multiply
    19,881.29x = 29,814.62 × 5,837.71
  4. Step 4: Simplify right side
    19,881.29x = 174,049,105.32
  5. Step 5: Solve for x
    x = 174,049,105.32/19,881.29
  6. Step 6: Final answer
    x = 8,754.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.