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Finding the Fourth Proportional to 13,519.20, 18,655.74 and 8,484.24

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Solution

The fourth proportional to 13,519.20, 18,655.74 and 8,484.24 is: 11,707.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,519.20 : 18,655.74 = 8,484.24 : x
  2. Step 2: Convert to fraction form
    13,519.20/18,655.74 = 8,484.24/x
  3. Step 3: Cross multiply
    13,519.20x = 18,655.74 × 8,484.24
  4. Step 4: Simplify right side
    13,519.20x = 158,279,775.54
  5. Step 5: Solve for x
    x = 158,279,775.54/13,519.20
  6. Step 6: Final answer
    x = 11,707.78

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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.