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Finding the Fourth Proportional to 24,476.30, 33,778.97 and 13,866.02

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Solution

The fourth proportional to 24,476.30, 33,778.97 and 13,866.02 is: 19,136.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,476.30 : 33,778.97 = 13,866.02 : x
  2. Step 2: Convert to fraction form
    24,476.30/33,778.97 = 13,866.02/x
  3. Step 3: Cross multiply
    24,476.30x = 33,778.97 × 13,866.02
  4. Step 4: Simplify right side
    24,476.30x = 468,379,635.37
  5. Step 5: Solve for x
    x = 468,379,635.37/24,476.30
  6. Step 6: Final answer
    x = 19,136.05

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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.