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Finding the Fourth Proportional to 17,224.32, 25,832 and 8,457.60

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Solution

The fourth proportional to 17,224.32, 25,832 and 8,457.60 is: 12,684.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,224.32 : 25,832 = 8,457.60 : x
  2. Step 2: Convert to fraction form
    17,224.32/25,832 = 8,457.60/x
  3. Step 3: Cross multiply
    17,224.32x = 25,832 × 8,457.60
  4. Step 4: Simplify right side
    17,224.32x = 218,476,723.20
  5. Step 5: Solve for x
    x = 218,476,723.20/17,224.32
  6. Step 6: Final answer
    x = 12,684.20

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1.5x scale

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.