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Finding the Fourth Proportional to 19,778.50, 29,667.68 and 7,937.58

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Solution

The fourth proportional to 19,778.50, 29,667.68 and 7,937.58 is: 11,906.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,778.50 : 29,667.68 = 7,937.58 : x
  2. Step 2: Convert to fraction form
    19,778.50/29,667.68 = 7,937.58/x
  3. Step 3: Cross multiply
    19,778.50x = 29,667.68 × 7,937.58
  4. Step 4: Simplify right side
    19,778.50x = 235,489,583.41
  5. Step 5: Solve for x
    x = 235,489,583.41/19,778.50
  6. Step 6: Final answer
    x = 11,906.34

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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.