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Finding the Fourth Proportional to 12,831.52, 17,652 and 10,468.48

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Solution

The fourth proportional to 12,831.52, 17,652 and 10,468.48 is: 14,401.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,831.52 : 17,652 = 10,468.48 : x
  2. Step 2: Convert to fraction form
    12,831.52/17,652 = 10,468.48/x
  3. Step 3: Cross multiply
    12,831.52x = 17,652 × 10,468.48
  4. Step 4: Simplify right side
    12,831.52x = 184,789,608.96
  5. Step 5: Solve for x
    x = 184,789,608.96/12,831.52
  6. Step 6: Final answer
    x = 14,401.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.