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Finding the Fourth Proportional to 13,491.50, 18,606.13 and 8,456.22

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Solution

The fourth proportional to 13,491.50, 18,606.13 and 8,456.22 is: 11,661.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,491.50 : 18,606.13 = 8,456.22 : x
  2. Step 2: Convert to fraction form
    13,491.50/18,606.13 = 8,456.22/x
  3. Step 3: Cross multiply
    13,491.50x = 18,606.13 × 8,456.22
  4. Step 4: Simplify right side
    13,491.50x = 157,337,507.49
  5. Step 5: Solve for x
    x = 157,337,507.49/13,491.50
  6. Step 6: Final answer
    x = 11,661.98

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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.