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Finding the Fourth Proportional to 17,960.94, 24,786.14 and 10,408.74

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Solution

The fourth proportional to 17,960.94, 24,786.14 and 10,408.74 is: 14,364.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,960.94 : 24,786.14 = 10,408.74 : x
  2. Step 2: Convert to fraction form
    17,960.94/24,786.14 = 10,408.74/x
  3. Step 3: Cross multiply
    17,960.94x = 24,786.14 × 10,408.74
  4. Step 4: Simplify right side
    17,960.94x = 257,992,486.86
  5. Step 5: Solve for x
    x = 257,992,486.86/17,960.94
  6. Step 6: Final answer
    x = 14,364.09

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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.