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Finding the Fourth Proportional to 13,494.23, 18,624.45 and 8,462.80

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Solution

The fourth proportional to 13,494.23, 18,624.45 and 8,462.80 is: 11,680.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,494.23 : 18,624.45 = 8,462.80 : x
  2. Step 2: Convert to fraction form
    13,494.23/18,624.45 = 8,462.80/x
  3. Step 3: Cross multiply
    13,494.23x = 18,624.45 × 8,462.80
  4. Step 4: Simplify right side
    13,494.23x = 157,614,995.46
  5. Step 5: Solve for x
    x = 157,614,995.46/13,494.23
  6. Step 6: Final answer
    x = 11,680.18

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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.