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Finding the Fourth Proportional to 12,408.96, 18,580.25 and 10,440.66

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Solution

The fourth proportional to 12,408.96, 18,580.25 and 10,440.66 is: 15,633.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408.96 : 18,580.25 = 10,440.66 : x
  2. Step 2: Convert to fraction form
    12,408.96/18,580.25 = 10,440.66/x
  3. Step 3: Cross multiply
    12,408.96x = 18,580.25 × 10,440.66
  4. Step 4: Simplify right side
    12,408.96x = 193,990,099.07
  5. Step 5: Solve for x
    x = 193,990,099.07/12,408.96
  6. Step 6: Final answer
    x = 15,633.07

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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.