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Finding the Fourth Proportional to 24,538.15, 33,858.03 and 14,469.76

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Solution

The fourth proportional to 24,538.15, 33,858.03 and 14,469.76 is: 19,965.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,538.15 : 33,858.03 = 14,469.76 : x
  2. Step 2: Convert to fraction form
    24,538.15/33,858.03 = 14,469.76/x
  3. Step 3: Cross multiply
    24,538.15x = 33,858.03 × 14,469.76
  4. Step 4: Simplify right side
    24,538.15x = 489,917,568.17
  5. Step 5: Solve for x
    x = 489,917,568.17/24,538.15
  6. Step 6: Final answer
    x = 19,965.55

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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.