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Finding the Fourth Proportional to 18,298.41, 27,442.16 and 7,768.27

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Solution

The fourth proportional to 18,298.41, 27,442.16 and 7,768.27 is: 11,650.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,298.41 : 27,442.16 = 7,768.27 : x
  2. Step 2: Convert to fraction form
    18,298.41/27,442.16 = 7,768.27/x
  3. Step 3: Cross multiply
    18,298.41x = 27,442.16 × 7,768.27
  4. Step 4: Simplify right side
    18,298.41x = 213,178,108.26
  5. Step 5: Solve for x
    x = 213,178,108.26/18,298.41
  6. Step 6: Final answer
    x = 11,650.09

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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.