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Finding the Fourth Proportional to 19,881.88, 29,823.42 and 8,196.04

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Solution

The fourth proportional to 19,881.88, 29,823.42 and 8,196.04 is: 12,294.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,881.88 : 29,823.42 = 8,196.04 : x
  2. Step 2: Convert to fraction form
    19,881.88/29,823.42 = 8,196.04/x
  3. Step 3: Cross multiply
    19,881.88x = 29,823.42 × 8,196.04
  4. Step 4: Simplify right side
    19,881.88x = 244,433,943.26
  5. Step 5: Solve for x
    x = 244,433,943.26/19,881.88
  6. Step 6: Final answer
    x = 12,294.31

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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.