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Finding the Fourth Proportional to 24,441.42, 33,729.86 and 13,830.82

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Solution

The fourth proportional to 24,441.42, 33,729.86 and 13,830.82 is: 19,086.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,441.42 : 33,729.86 = 13,830.82 : x
  2. Step 2: Convert to fraction form
    24,441.42/33,729.86 = 13,830.82/x
  3. Step 3: Cross multiply
    24,441.42x = 33,729.86 × 13,830.82
  4. Step 4: Simplify right side
    24,441.42x = 466,511,622.29
  5. Step 5: Solve for x
    x = 466,511,622.29/24,441.42
  6. Step 6: Final answer
    x = 19,086.93

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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.