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Finding the Fourth Proportional to 18,224.26, 27,339.50 and 8,364.38

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Solution

The fourth proportional to 18,224.26, 27,339.50 and 8,364.38 is: 12,548.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,224.26 : 27,339.50 = 8,364.38 : x
  2. Step 2: Convert to fraction form
    18,224.26/27,339.50 = 8,364.38/x
  3. Step 3: Cross multiply
    18,224.26x = 27,339.50 × 8,364.38
  4. Step 4: Simplify right side
    18,224.26x = 228,677,967.01
  5. Step 5: Solve for x
    x = 228,677,967.01/18,224.26
  6. Step 6: Final answer
    x = 12,548.00

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Why These Related Problems?

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