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Finding the Fourth Proportional to 13,877.98, 19,149.89 and 8,840.13

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Solution

The fourth proportional to 13,877.98, 19,149.89 and 8,840.13 is: 12,198.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,877.98 : 19,149.89 = 8,840.13 : x
  2. Step 2: Convert to fraction form
    13,877.98/19,149.89 = 8,840.13/x
  3. Step 3: Cross multiply
    13,877.98x = 19,149.89 × 8,840.13
  4. Step 4: Simplify right side
    13,877.98x = 169,287,517.09
  5. Step 5: Solve for x
    x = 169,287,517.09/13,877.98
  6. Step 6: Final answer
    x = 12,198.29

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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.