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Finding the Fourth Proportional to 19,778.04, 29,667.06 and 8,086.50

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Solution

The fourth proportional to 19,778.04, 29,667.06 and 8,086.50 is: 12,129.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,778.04 : 29,667.06 = 8,086.50 : x
  2. Step 2: Convert to fraction form
    19,778.04/29,667.06 = 8,086.50/x
  3. Step 3: Cross multiply
    19,778.04x = 29,667.06 × 8,086.50
  4. Step 4: Simplify right side
    19,778.04x = 239,902,680.69
  5. Step 5: Solve for x
    x = 239,902,680.69/19,778.04
  6. Step 6: Final answer
    x = 12,129.75

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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.