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Finding the Fourth Proportional to 22,795.78, 34,197.10 and 8,002.10

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Solution

The fourth proportional to 22,795.78, 34,197.10 and 8,002.10 is: 12,004.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,795.78 : 34,197.10 = 8,002.10 : x
  2. Step 2: Convert to fraction form
    22,795.78/34,197.10 = 8,002.10/x
  3. Step 3: Cross multiply
    22,795.78x = 34,197.10 × 8,002.10
  4. Step 4: Simplify right side
    22,795.78x = 273,648,613.91
  5. Step 5: Solve for x
    x = 273,648,613.91/22,795.78
  6. Step 6: Final answer
    x = 12,004.35

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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.