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Finding the Fourth Proportional to 13,204.52, 18,215.70 and 8,423.24

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Solution

The fourth proportional to 13,204.52, 18,215.70 and 8,423.24 is: 11,619.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204.52 : 18,215.70 = 8,423.24 : x
  2. Step 2: Convert to fraction form
    13,204.52/18,215.70 = 8,423.24/x
  3. Step 3: Cross multiply
    13,204.52x = 18,215.70 × 8,423.24
  4. Step 4: Simplify right side
    13,204.52x = 153,435,212.87
  5. Step 5: Solve for x
    x = 153,435,212.87/13,204.52
  6. Step 6: Final answer
    x = 11,619.90

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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.