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Finding the Fourth Proportional to 25,098.25, 34,635.90 and 13,767

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Solution

The fourth proportional to 25,098.25, 34,635.90 and 13,767 is: 18,998.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,098.25 : 34,635.90 = 13,767 : x
  2. Step 2: Convert to fraction form
    25,098.25/34,635.90 = 13,767/x
  3. Step 3: Cross multiply
    25,098.25x = 34,635.90 × 13,767
  4. Step 4: Simplify right side
    25,098.25x = 476,832,435.30
  5. Step 5: Solve for x
    x = 476,832,435.30/25,098.25
  6. Step 6: Final answer
    x = 18,998.64

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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.