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Finding the Fourth Proportional to 12,152.57, 18,197.31 and 10,408.80

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Solution

The fourth proportional to 12,152.57, 18,197.31 and 10,408.80 is: 15,586.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,152.57 : 18,197.31 = 10,408.80 : x
  2. Step 2: Convert to fraction form
    12,152.57/18,197.31 = 10,408.80/x
  3. Step 3: Cross multiply
    12,152.57x = 18,197.31 × 10,408.80
  4. Step 4: Simplify right side
    12,152.57x = 189,412,160.33
  5. Step 5: Solve for x
    x = 189,412,160.33/12,152.57
  6. Step 6: Final answer
    x = 15,586.18

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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.