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Finding the Fourth Proportional to 24,441.90, 33,729.66 and 13,831.31

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Solution

The fourth proportional to 24,441.90, 33,729.66 and 13,831.31 is: 19,087.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,441.90 : 33,729.66 = 13,831.31 : x
  2. Step 2: Convert to fraction form
    24,441.90/33,729.66 = 13,831.31/x
  3. Step 3: Cross multiply
    24,441.90x = 33,729.66 × 13,831.31
  4. Step 4: Simplify right side
    24,441.90x = 466,525,215.01
  5. Step 5: Solve for x
    x = 466,525,215.01/24,441.90
  6. Step 6: Final answer
    x = 19,087.11

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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.