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Finding the Fourth Proportional to 13,624.20, 18,796.50 and 8,911.17

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Solution

The fourth proportional to 13,624.20, 18,796.50 and 8,911.17 is: 12,294.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,624.20 : 18,796.50 = 8,911.17 : x
  2. Step 2: Convert to fraction form
    13,624.20/18,796.50 = 8,911.17/x
  3. Step 3: Cross multiply
    13,624.20x = 18,796.50 × 8,911.17
  4. Step 4: Simplify right side
    13,624.20x = 167,498,806.91
  5. Step 5: Solve for x
    x = 167,498,806.91/13,624.20
  6. Step 6: Final answer
    x = 12,294.21

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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.