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Finding the Fourth Proportional to 18,658.60, 27,989.44 and 6,178.24

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Solution

The fourth proportional to 18,658.60, 27,989.44 and 6,178.24 is: 9,267.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,658.60 : 27,989.44 = 6,178.24 : x
  2. Step 2: Convert to fraction form
    18,658.60/27,989.44 = 6,178.24/x
  3. Step 3: Cross multiply
    18,658.60x = 27,989.44 × 6,178.24
  4. Step 4: Simplify right side
    18,658.60x = 172,925,477.79
  5. Step 5: Solve for x
    x = 172,925,477.79/18,658.60
  6. Step 6: Final answer
    x = 9,267.87

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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.