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Finding the Fourth Proportional to 13,082.50, 18,054.12 and 7,493.50

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Solution

The fourth proportional to 13,082.50, 18,054.12 and 7,493.50 is: 10,341.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,082.50 : 18,054.12 = 7,493.50 : x
  2. Step 2: Convert to fraction form
    13,082.50/18,054.12 = 7,493.50/x
  3. Step 3: Cross multiply
    13,082.50x = 18,054.12 × 7,493.50
  4. Step 4: Simplify right side
    13,082.50x = 135,288,548.22
  5. Step 5: Solve for x
    x = 135,288,548.22/13,082.50
  6. Step 6: Final answer
    x = 10,341.18

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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.