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Finding the Fourth Proportional to 24,526.92, 33,847.94 and 13,917

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Solution

The fourth proportional to 24,526.92, 33,847.94 and 13,917 is: 19,205.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,526.92 : 33,847.94 = 13,917 : x
  2. Step 2: Convert to fraction form
    24,526.92/33,847.94 = 13,917/x
  3. Step 3: Cross multiply
    24,526.92x = 33,847.94 × 13,917
  4. Step 4: Simplify right side
    24,526.92x = 471,061,780.98
  5. Step 5: Solve for x
    x = 471,061,780.98/24,526.92
  6. Step 6: Final answer
    x = 19,205.91

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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.