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Finding the Fourth Proportional to 13,269.93, 19,902.16 and 3,907.97

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Solution

The fourth proportional to 13,269.93, 19,902.16 and 3,907.97 is: 5,861.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,269.93 : 19,902.16 = 3,907.97 : x
  2. Step 2: Convert to fraction form
    13,269.93/19,902.16 = 3,907.97/x
  3. Step 3: Cross multiply
    13,269.93x = 19,902.16 × 3,907.97
  4. Step 4: Simplify right side
    13,269.93x = 77,777,058.21
  5. Step 5: Solve for x
    x = 77,777,058.21/13,269.93
  6. Step 6: Final answer
    x = 5,861.15

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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.