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Finding the Fourth Proportional to 24,633.86, 36,941.20 and 7,989.86

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Solution

The fourth proportional to 24,633.86, 36,941.20 and 7,989.86 is: 11,981.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,633.86 : 36,941.20 = 7,989.86 : x
  2. Step 2: Convert to fraction form
    24,633.86/36,941.20 = 7,989.86/x
  3. Step 3: Cross multiply
    24,633.86x = 36,941.20 × 7,989.86
  4. Step 4: Simplify right side
    24,633.86x = 295,155,088.61
  5. Step 5: Solve for x
    x = 295,155,088.61/24,633.86
  6. Step 6: Final answer
    x = 11,981.68

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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.