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Finding the Fourth Proportional to 24,538.98, 33,864.03 and 13,928.70

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Solution

The fourth proportional to 24,538.98, 33,864.03 and 13,928.70 is: 19,221.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,538.98 : 33,864.03 = 13,928.70 : x
  2. Step 2: Convert to fraction form
    24,538.98/33,864.03 = 13,928.70/x
  3. Step 3: Cross multiply
    24,538.98x = 33,864.03 × 13,928.70
  4. Step 4: Simplify right side
    24,538.98x = 471,681,914.66
  5. Step 5: Solve for x
    x = 471,681,914.66/24,538.98
  6. Step 6: Final answer
    x = 19,221.74

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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.