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Finding the Fourth Proportional to 24,441.52, 33,729.28 and 13,830.96

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Solution

The fourth proportional to 24,441.52, 33,729.28 and 13,830.96 is: 19,086.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,441.52 : 33,729.28 = 13,830.96 : x
  2. Step 2: Convert to fraction form
    24,441.52/33,729.28 = 13,830.96/x
  3. Step 3: Cross multiply
    24,441.52x = 33,729.28 × 13,830.96
  4. Step 4: Simplify right side
    24,441.52x = 466,508,322.51
  5. Step 5: Solve for x
    x = 466,508,322.51/24,441.52
  6. Step 6: Final answer
    x = 19,086.71

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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.