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Finding the Fourth Proportional to 24,144.86, 36,208.37 and 8,345.86

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Solution

The fourth proportional to 24,144.86, 36,208.37 and 8,345.86 is: 12,515.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,144.86 : 36,208.37 = 8,345.86 : x
  2. Step 2: Convert to fraction form
    24,144.86/36,208.37 = 8,345.86/x
  3. Step 3: Cross multiply
    24,144.86x = 36,208.37 × 8,345.86
  4. Step 4: Simplify right side
    24,144.86x = 302,189,986.85
  5. Step 5: Solve for x
    x = 302,189,986.85/24,144.86
  6. Step 6: Final answer
    x = 12,515.71

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1.5x scale

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.