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Finding the Fourth Proportional to 18,298.91, 27,442.91 and 7,768.77

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Solution

The fourth proportional to 18,298.91, 27,442.91 and 7,768.77 is: 11,650.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,298.91 : 27,442.91 = 7,768.77 : x
  2. Step 2: Convert to fraction form
    18,298.91/27,442.91 = 7,768.77/x
  3. Step 3: Cross multiply
    18,298.91x = 27,442.91 × 7,768.77
  4. Step 4: Simplify right side
    18,298.91x = 213,197,617.08
  5. Step 5: Solve for x
    x = 213,197,617.08/18,298.91
  6. Step 6: Final answer
    x = 11,650.84

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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.