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Finding the Fourth Proportional to 24,441.54, 33,729.03 and 13,830.90

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Solution

The fourth proportional to 24,441.54, 33,729.03 and 13,830.90 is: 19,086.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,441.54 : 33,729.03 = 13,830.90 : x
  2. Step 2: Convert to fraction form
    24,441.54/33,729.03 = 13,830.90/x
  3. Step 3: Cross multiply
    24,441.54x = 33,729.03 × 13,830.90
  4. Step 4: Simplify right side
    24,441.54x = 466,502,841.03
  5. Step 5: Solve for x
    x = 466,502,841.03/24,441.54
  6. Step 6: Final answer
    x = 19,086.47

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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.