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Finding the Fourth Proportional to 13,082.30, 18,101.12 and 11,407.20

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Solution

The fourth proportional to 13,082.30, 18,101.12 and 11,407.20 is: 15,783.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,082.30 : 18,101.12 = 11,407.20 : x
  2. Step 2: Convert to fraction form
    13,082.30/18,101.12 = 11,407.20/x
  3. Step 3: Cross multiply
    13,082.30x = 18,101.12 × 11,407.20
  4. Step 4: Simplify right side
    13,082.30x = 206,483,039.03
  5. Step 5: Solve for x
    x = 206,483,039.03/13,082.30
  6. Step 6: Final answer
    x = 15,783.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.