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Finding the Fourth Proportional to 18,184.10, 27,264 and 14,678.42

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Solution

The fourth proportional to 18,184.10, 27,264 and 14,678.42 is: 22,007.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,184.10 : 27,264 = 14,678.42 : x
  2. Step 2: Convert to fraction form
    18,184.10/27,264 = 14,678.42/x
  3. Step 3: Cross multiply
    18,184.10x = 27,264 × 14,678.42
  4. Step 4: Simplify right side
    18,184.10x = 400,192,442.88
  5. Step 5: Solve for x
    x = 400,192,442.88/18,184.10
  6. Step 6: Final answer
    x = 22,007.82

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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.