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Finding the Fourth Proportional to 17,863.72, 24,652 and 9,905.92

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Solution

The fourth proportional to 17,863.72, 24,652 and 9,905.92 is: 13,670.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,863.72 : 24,652 = 9,905.92 : x
  2. Step 2: Convert to fraction form
    17,863.72/24,652 = 9,905.92/x
  3. Step 3: Cross multiply
    17,863.72x = 24,652 × 9,905.92
  4. Step 4: Simplify right side
    17,863.72x = 244,200,739.84
  5. Step 5: Solve for x
    x = 244,200,739.84/17,863.72
  6. Step 6: Final answer
    x = 13,670.21

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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.