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Finding the Fourth Proportional to 24,615.48, 36,922.26 and 8,199.48

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Solution

The fourth proportional to 24,615.48, 36,922.26 and 8,199.48 is: 12,298.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,615.48 : 36,922.26 = 8,199.48 : x
  2. Step 2: Convert to fraction form
    24,615.48/36,922.26 = 8,199.48/x
  3. Step 3: Cross multiply
    24,615.48x = 36,922.26 × 8,199.48
  4. Step 4: Simplify right side
    24,615.48x = 302,743,332.42
  5. Step 5: Solve for x
    x = 302,743,332.42/24,615.48
  6. Step 6: Final answer
    x = 12,298.90

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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.