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Finding the Fourth Proportional to 17,383.96, 23,991.24 and 9,831.86

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Solution

The fourth proportional to 17,383.96, 23,991.24 and 9,831.86 is: 13,568.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,383.96 : 23,991.24 = 9,831.86 : x
  2. Step 2: Convert to fraction form
    17,383.96/23,991.24 = 9,831.86/x
  3. Step 3: Cross multiply
    17,383.96x = 23,991.24 × 9,831.86
  4. Step 4: Simplify right side
    17,383.96x = 235,878,512.91
  5. Step 5: Solve for x
    x = 235,878,512.91/17,383.96
  6. Step 6: Final answer
    x = 13,568.74

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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.