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Finding the Fourth Proportional to 17,673.68, 24,390.24 and 9,716.24

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Solution

The fourth proportional to 17,673.68, 24,390.24 and 9,716.24 is: 13,408.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,673.68 : 24,390.24 = 9,716.24 : x
  2. Step 2: Convert to fraction form
    17,673.68/24,390.24 = 9,716.24/x
  3. Step 3: Cross multiply
    17,673.68x = 24,390.24 × 9,716.24
  4. Step 4: Simplify right side
    17,673.68x = 236,981,425.50
  5. Step 5: Solve for x
    x = 236,981,425.50/17,673.68
  6. Step 6: Final answer
    x = 13,408.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.