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Finding the Fourth Proportional to 17,383.62, 23,989.88 and 9,831.09

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Solution

The fourth proportional to 17,383.62, 23,989.88 and 9,831.09 is: 13,567.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,383.62 : 23,989.88 = 9,831.09 : x
  2. Step 2: Convert to fraction form
    17,383.62/23,989.88 = 9,831.09/x
  3. Step 3: Cross multiply
    17,383.62x = 23,989.88 × 9,831.09
  4. Step 4: Simplify right side
    17,383.62x = 235,846,524.84
  5. Step 5: Solve for x
    x = 235,846,524.84/17,383.62
  6. Step 6: Final answer
    x = 13,567.17

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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.