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Finding the Fourth Proportional to 24,188.86, 36,297.11 and 9,395.86

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Solution

The fourth proportional to 24,188.86, 36,297.11 and 9,395.86 is: 14,099.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,188.86 : 36,297.11 = 9,395.86 : x
  2. Step 2: Convert to fraction form
    24,188.86/36,297.11 = 9,395.86/x
  3. Step 3: Cross multiply
    24,188.86x = 36,297.11 × 9,395.86
  4. Step 4: Simplify right side
    24,188.86x = 341,042,462.68
  5. Step 5: Solve for x
    x = 341,042,462.68/24,188.86
  6. Step 6: Final answer
    x = 14,099.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.