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Finding the Fourth Proportional to 13,642.49, 20,467.68 and 4,878.09

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Solution

The fourth proportional to 13,642.49, 20,467.68 and 4,878.09 is: 7,318.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.49 : 20,467.68 = 4,878.09 : x
  2. Step 2: Convert to fraction form
    13,642.49/20,467.68 = 4,878.09/x
  3. Step 3: Cross multiply
    13,642.49x = 20,467.68 × 4,878.09
  4. Step 4: Simplify right side
    13,642.49x = 99,843,185.13
  5. Step 5: Solve for x
    x = 99,843,185.13/13,642.49
  6. Step 6: Final answer
    x = 7,318.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.