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Finding the Fourth Proportional to 18,124.24, 27,186.40 and 8,266.36

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Solution

The fourth proportional to 18,124.24, 27,186.40 and 8,266.36 is: 12,399.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,124.24 : 27,186.40 = 8,266.36 : x
  2. Step 2: Convert to fraction form
    18,124.24/27,186.40 = 8,266.36/x
  3. Step 3: Cross multiply
    18,124.24x = 27,186.40 × 8,266.36
  4. Step 4: Simplify right side
    18,124.24x = 224,732,569.50
  5. Step 5: Solve for x
    x = 224,732,569.50/18,124.24
  6. Step 6: Final answer
    x = 12,399.56

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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.