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Finding the Fourth Proportional to 12,534.41, 17,299.22 and 7,229.12

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Solution

The fourth proportional to 12,534.41, 17,299.22 and 7,229.12 is: 9,977.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.41 : 17,299.22 = 7,229.12 : x
  2. Step 2: Convert to fraction form
    12,534.41/17,299.22 = 7,229.12/x
  3. Step 3: Cross multiply
    12,534.41x = 17,299.22 × 7,229.12
  4. Step 4: Simplify right side
    12,534.41x = 125,058,055.31
  5. Step 5: Solve for x
    x = 125,058,055.31/12,534.41
  6. Step 6: Final answer
    x = 9,977.18

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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.