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Finding the Fourth Proportional to 13,389, 18,477.30 and 8,082.78

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Solution

The fourth proportional to 13,389, 18,477.30 and 8,082.78 is: 11,154.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,389 : 18,477.30 = 8,082.78 : x
  2. Step 2: Convert to fraction form
    13,389/18,477.30 = 8,082.78/x
  3. Step 3: Cross multiply
    13,389x = 18,477.30 × 8,082.78
  4. Step 4: Simplify right side
    13,389x = 149,347,950.89
  5. Step 5: Solve for x
    x = 149,347,950.89/13,389
  6. Step 6: Final answer
    x = 11,154.53

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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.