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Finding the Fourth Proportional to 13,502.24, 20,239.44 and 6,568.16

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Solution

The fourth proportional to 13,502.24, 20,239.44 and 6,568.16 is: 9,845.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.24 : 20,239.44 = 6,568.16 : x
  2. Step 2: Convert to fraction form
    13,502.24/20,239.44 = 6,568.16/x
  3. Step 3: Cross multiply
    13,502.24x = 20,239.44 × 6,568.16
  4. Step 4: Simplify right side
    13,502.24x = 132,935,880.23
  5. Step 5: Solve for x
    x = 132,935,880.23/13,502.24
  6. Step 6: Final answer
    x = 9,845.47

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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.