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Finding the Fourth Proportional to 22,684.86, 34,032.15 and 8,649.18

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Solution

The fourth proportional to 22,684.86, 34,032.15 and 8,649.18 is: 12,975.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,684.86 : 34,032.15 = 8,649.18 : x
  2. Step 2: Convert to fraction form
    22,684.86/34,032.15 = 8,649.18/x
  3. Step 3: Cross multiply
    22,684.86x = 34,032.15 × 8,649.18
  4. Step 4: Simplify right side
    22,684.86x = 294,350,191.14
  5. Step 5: Solve for x
    x = 294,350,191.14/22,684.86
  6. Step 6: Final answer
    x = 12,975.62

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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.