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Finding the Fourth Proportional to 15,831.44, 21,847.20 and 8,661.23

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Solution

The fourth proportional to 15,831.44, 21,847.20 and 8,661.23 is: 11,952.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,831.44 : 21,847.20 = 8,661.23 : x
  2. Step 2: Convert to fraction form
    15,831.44/21,847.20 = 8,661.23/x
  3. Step 3: Cross multiply
    15,831.44x = 21,847.20 × 8,661.23
  4. Step 4: Simplify right side
    15,831.44x = 189,223,624.06
  5. Step 5: Solve for x
    x = 189,223,624.06/15,831.44
  6. Step 6: Final answer
    x = 11,952.39

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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.