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Finding the Fourth Proportional to 24,441.57, 33,729.88 and 13,831.20

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Solution

The fourth proportional to 24,441.57, 33,729.88 and 13,831.20 is: 19,087.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,441.57 : 33,729.88 = 13,831.20 : x
  2. Step 2: Convert to fraction form
    24,441.57/33,729.88 = 13,831.20/x
  3. Step 3: Cross multiply
    24,441.57x = 33,729.88 × 13,831.20
  4. Step 4: Simplify right side
    24,441.57x = 466,524,681.68
  5. Step 5: Solve for x
    x = 466,524,681.68/24,441.57
  6. Step 6: Final answer
    x = 19,087.35

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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.