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Finding the Fourth Proportional to 12,729.33, 19,058.29 and 9,599.49

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Solution

The fourth proportional to 12,729.33, 19,058.29 and 9,599.49 is: 14,372.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,729.33 : 19,058.29 = 9,599.49 : x
  2. Step 2: Convert to fraction form
    12,729.33/19,058.29 = 9,599.49/x
  3. Step 3: Cross multiply
    12,729.33x = 19,058.29 × 9,599.49
  4. Step 4: Simplify right side
    12,729.33x = 182,949,840.27
  5. Step 5: Solve for x
    x = 182,949,840.27/12,729.33
  6. Step 6: Final answer
    x = 14,372.31

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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.