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Finding the Fourth Proportional to 14,087.97, 19,443.78 and 8,123.13

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Solution

The fourth proportional to 14,087.97, 19,443.78 and 8,123.13 is: 11,211.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,087.97 : 19,443.78 = 8,123.13 : x
  2. Step 2: Convert to fraction form
    14,087.97/19,443.78 = 8,123.13/x
  3. Step 3: Cross multiply
    14,087.97x = 19,443.78 × 8,123.13
  4. Step 4: Simplify right side
    14,087.97x = 157,944,352.63
  5. Step 5: Solve for x
    x = 157,944,352.63/14,087.97
  6. Step 6: Final answer
    x = 11,211.29

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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.