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Finding the Fourth Proportional to 19,778.42, 29,678.60 and 8,099.84

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Solution

The fourth proportional to 19,778.42, 29,678.60 and 8,099.84 is: 12,154.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,778.42 : 29,678.60 = 8,099.84 : x
  2. Step 2: Convert to fraction form
    19,778.42/29,678.60 = 8,099.84/x
  3. Step 3: Cross multiply
    19,778.42x = 29,678.60 × 8,099.84
  4. Step 4: Simplify right side
    19,778.42x = 240,392,005.87
  5. Step 5: Solve for x
    x = 240,392,005.87/19,778.42
  6. Step 6: Final answer
    x = 12,154.26

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