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Finding the Fourth Proportional to 24,231.86, 36,332.91 and 9,423.52

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Solution

The fourth proportional to 24,231.86, 36,332.91 and 9,423.52 is: 14,129.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,231.86 : 36,332.91 = 9,423.52 : x
  2. Step 2: Convert to fraction form
    24,231.86/36,332.91 = 9,423.52/x
  3. Step 3: Cross multiply
    24,231.86x = 36,332.91 × 9,423.52
  4. Step 4: Simplify right side
    24,231.86x = 342,383,813.21
  5. Step 5: Solve for x
    x = 342,383,813.21/24,231.86
  6. Step 6: Final answer
    x = 14,129.49

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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.