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Finding the Fourth Proportional to 13,527.90, 18,674.25 and 8,224.41

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Solution

The fourth proportional to 13,527.90, 18,674.25 and 8,224.41 is: 11,353.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,527.90 : 18,674.25 = 8,224.41 : x
  2. Step 2: Convert to fraction form
    13,527.90/18,674.25 = 8,224.41/x
  3. Step 3: Cross multiply
    13,527.90x = 18,674.25 × 8,224.41
  4. Step 4: Simplify right side
    13,527.90x = 153,584,688.44
  5. Step 5: Solve for x
    x = 153,584,688.44/13,527.90
  6. Step 6: Final answer
    x = 11,353.18

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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.