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Finding the Fourth Proportional to 13,462.86, 18,575.73 and 8,082.84

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Solution

The fourth proportional to 13,462.86, 18,575.73 and 8,082.84 is: 11,152.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,462.86 : 18,575.73 = 8,082.84 : x
  2. Step 2: Convert to fraction form
    13,462.86/18,575.73 = 8,082.84/x
  3. Step 3: Cross multiply
    13,462.86x = 18,575.73 × 8,082.84
  4. Step 4: Simplify right side
    13,462.86x = 150,144,653.47
  5. Step 5: Solve for x
    x = 150,144,653.47/13,462.86
  6. Step 6: Final answer
    x = 11,152.51

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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.