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Finding the Fourth Proportional to 17,578.35, 24,258 and 9,620.49

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Solution

The fourth proportional to 17,578.35, 24,258 and 9,620.49 is: 13,276.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,578.35 : 24,258 = 9,620.49 : x
  2. Step 2: Convert to fraction form
    17,578.35/24,258 = 9,620.49/x
  3. Step 3: Cross multiply
    17,578.35x = 24,258 × 9,620.49
  4. Step 4: Simplify right side
    17,578.35x = 233,373,846.42
  5. Step 5: Solve for x
    x = 233,373,846.42/17,578.35
  6. Step 6: Final answer
    x = 13,276.21

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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.