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Finding the Fourth Proportional to 13,219.47, 18,239.17 and 8,506.49

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Solution

The fourth proportional to 13,219.47, 18,239.17 and 8,506.49 is: 11,736.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,219.47 : 18,239.17 = 8,506.49 : x
  2. Step 2: Convert to fraction form
    13,219.47/18,239.17 = 8,506.49/x
  3. Step 3: Cross multiply
    13,219.47x = 18,239.17 × 8,506.49
  4. Step 4: Simplify right side
    13,219.47x = 155,151,183.49
  5. Step 5: Solve for x
    x = 155,151,183.49/13,219.47
  6. Step 6: Final answer
    x = 11,736.57

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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.