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Finding the Fourth Proportional to 18,623.78, 27,898.17 and 8,614.42

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Solution

The fourth proportional to 18,623.78, 27,898.17 and 8,614.42 is: 12,904.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,623.78 : 27,898.17 = 8,614.42 : x
  2. Step 2: Convert to fraction form
    18,623.78/27,898.17 = 8,614.42/x
  3. Step 3: Cross multiply
    18,623.78x = 27,898.17 × 8,614.42
  4. Step 4: Simplify right side
    18,623.78x = 240,326,553.61
  5. Step 5: Solve for x
    x = 240,326,553.61/18,623.78
  6. Step 6: Final answer
    x = 12,904.28

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