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Finding the Fourth Proportional to 13,102.91, 18,082.03 and 7,134.60

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Solution

The fourth proportional to 13,102.91, 18,082.03 and 7,134.60 is: 9,845.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.91 : 18,082.03 = 7,134.60 : x
  2. Step 2: Convert to fraction form
    13,102.91/18,082.03 = 7,134.60/x
  3. Step 3: Cross multiply
    13,102.91x = 18,082.03 × 7,134.60
  4. Step 4: Simplify right side
    13,102.91x = 129,008,051.24
  5. Step 5: Solve for x
    x = 129,008,051.24/13,102.91
  6. Step 6: Final answer
    x = 9,845.76

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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.