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Finding the Fourth Proportional to 13,058.49, 19,546.42 and 8,372.24

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Solution

The fourth proportional to 13,058.49, 19,546.42 and 8,372.24 is: 12,531.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,058.49 : 19,546.42 = 8,372.24 : x
  2. Step 2: Convert to fraction form
    13,058.49/19,546.42 = 8,372.24/x
  3. Step 3: Cross multiply
    13,058.49x = 19,546.42 × 8,372.24
  4. Step 4: Simplify right side
    13,058.49x = 163,647,319.38
  5. Step 5: Solve for x
    x = 163,647,319.38/13,058.49
  6. Step 6: Final answer
    x = 12,531.87

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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.