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Finding the Fourth Proportional to 19,924.71, 29,893.97 and 8,839.16

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Solution

The fourth proportional to 19,924.71, 29,893.97 and 8,839.16 is: 13,261.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,924.71 : 29,893.97 = 8,839.16 : x
  2. Step 2: Convert to fraction form
    19,924.71/29,893.97 = 8,839.16/x
  3. Step 3: Cross multiply
    19,924.71x = 29,893.97 × 8,839.16
  4. Step 4: Simplify right side
    19,924.71x = 264,237,707.14
  5. Step 5: Solve for x
    x = 264,237,707.14/19,924.71
  6. Step 6: Final answer
    x = 13,261.81

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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.