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Finding the Fourth Proportional to 13,549.26, 20,323.49 and 3,688.22

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Solution

The fourth proportional to 13,549.26, 20,323.49 and 3,688.22 is: 5,532.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,549.26 : 20,323.49 = 3,688.22 : x
  2. Step 2: Convert to fraction form
    13,549.26/20,323.49 = 3,688.22/x
  3. Step 3: Cross multiply
    13,549.26x = 20,323.49 × 3,688.22
  4. Step 4: Simplify right side
    13,549.26x = 74,957,502.29
  5. Step 5: Solve for x
    x = 74,957,502.29/13,549.26
  6. Step 6: Final answer
    x = 5,532.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.