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Finding the Fourth Proportional to 31,630.60, 47,409.38 and 11,896.57

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Solution

The fourth proportional to 31,630.60, 47,409.38 and 11,896.57 is: 17,831.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,630.60 : 47,409.38 = 11,896.57 : x
  2. Step 2: Convert to fraction form
    31,630.60/47,409.38 = 11,896.57/x
  3. Step 3: Cross multiply
    31,630.60x = 47,409.38 × 11,896.57
  4. Step 4: Simplify right side
    31,630.60x = 564,009,007.83
  5. Step 5: Solve for x
    x = 564,009,007.83/31,630.60
  6. Step 6: Final answer
    x = 17,831.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.