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Finding the Fourth Proportional to 15,608.10, 23,414.19 and 8,212.92

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Solution

The fourth proportional to 15,608.10, 23,414.19 and 8,212.92 is: 12,320.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,608.10 : 23,414.19 = 8,212.92 : x
  2. Step 2: Convert to fraction form
    15,608.10/23,414.19 = 8,212.92/x
  3. Step 3: Cross multiply
    15,608.10x = 23,414.19 × 8,212.92
  4. Step 4: Simplify right side
    15,608.10x = 192,298,869.33
  5. Step 5: Solve for x
    x = 192,298,869.33/15,608.10
  6. Step 6: Final answer
    x = 12,320.45

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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.