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Finding the Fourth Proportional to 13,082.25, 18,058.74 and 8,048.49

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Solution

The fourth proportional to 13,082.25, 18,058.74 and 8,048.49 is: 11,110.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,082.25 : 18,058.74 = 8,048.49 : x
  2. Step 2: Convert to fraction form
    13,082.25/18,058.74 = 8,048.49/x
  3. Step 3: Cross multiply
    13,082.25x = 18,058.74 × 8,048.49
  4. Step 4: Simplify right side
    13,082.25x = 145,345,588.30
  5. Step 5: Solve for x
    x = 145,345,588.30/13,082.25
  6. Step 6: Final answer
    x = 11,110.14

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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.