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Finding the Fourth Proportional to 18,624.64, 27,930.99 and 6,141.86

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Solution

The fourth proportional to 18,624.64, 27,930.99 and 6,141.86 is: 9,210.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,624.64 : 27,930.99 = 6,141.86 : x
  2. Step 2: Convert to fraction form
    18,624.64/27,930.99 = 6,141.86/x
  3. Step 3: Cross multiply
    18,624.64x = 27,930.99 × 6,141.86
  4. Step 4: Simplify right side
    18,624.64x = 171,548,230.24
  5. Step 5: Solve for x
    x = 171,548,230.24/18,624.64
  6. Step 6: Final answer
    x = 9,210.82

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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.