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Finding the Fourth Proportional to 22,762.86, 34,143.08 and 8,729.62

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Solution

The fourth proportional to 22,762.86, 34,143.08 and 8,729.62 is: 13,093.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,762.86 : 34,143.08 = 8,729.62 : x
  2. Step 2: Convert to fraction form
    22,762.86/34,143.08 = 8,729.62/x
  3. Step 3: Cross multiply
    22,762.86x = 34,143.08 × 8,729.62
  4. Step 4: Simplify right side
    22,762.86x = 298,056,114.03
  5. Step 5: Solve for x
    x = 298,056,114.03/22,762.86
  6. Step 6: Final answer
    x = 13,093.97

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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.