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Finding the Fourth Proportional to 16,165, 24,247.52 and 5,221

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Solution

The fourth proportional to 16,165, 24,247.52 and 5,221 is: 7,831.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,165 : 24,247.52 = 5,221 : x
  2. Step 2: Convert to fraction form
    16,165/24,247.52 = 5,221/x
  3. Step 3: Cross multiply
    16,165x = 24,247.52 × 5,221
  4. Step 4: Simplify right side
    16,165x = 126,596,301.92
  5. Step 5: Solve for x
    x = 126,596,301.92/16,165
  6. Step 6: Final answer
    x = 7,831.51

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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.