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Finding the Fourth Proportional to 17,408.69, 24,024.69 and 9,855.38

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Solution

The fourth proportional to 17,408.69, 24,024.69 and 9,855.38 is: 13,600.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,408.69 : 24,024.69 = 9,855.38 : x
  2. Step 2: Convert to fraction form
    17,408.69/24,024.69 = 9,855.38/x
  3. Step 3: Cross multiply
    17,408.69x = 24,024.69 × 9,855.38
  4. Step 4: Simplify right side
    17,408.69x = 236,772,329.21
  5. Step 5: Solve for x
    x = 236,772,329.21/17,408.69
  6. Step 6: Final answer
    x = 13,600.82

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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.