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Finding the Fourth Proportional to 13,963.50, 19,269.14 and 7,675.83

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Solution

The fourth proportional to 13,963.50, 19,269.14 and 7,675.83 is: 10,592.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,963.50 : 19,269.14 = 7,675.83 : x
  2. Step 2: Convert to fraction form
    13,963.50/19,269.14 = 7,675.83/x
  3. Step 3: Cross multiply
    13,963.50x = 19,269.14 × 7,675.83
  4. Step 4: Simplify right side
    13,963.50x = 147,906,575.52
  5. Step 5: Solve for x
    x = 147,906,575.52/13,963.50
  6. Step 6: Final answer
    x = 10,592.37

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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.