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Finding the Fourth Proportional to 18,520.13, 27,774.43 and 6,205.25

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Solution

The fourth proportional to 18,520.13, 27,774.43 and 6,205.25 is: 9,305.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,520.13 : 27,774.43 = 6,205.25 : x
  2. Step 2: Convert to fraction form
    18,520.13/27,774.43 = 6,205.25/x
  3. Step 3: Cross multiply
    18,520.13x = 27,774.43 × 6,205.25
  4. Step 4: Simplify right side
    18,520.13x = 172,347,281.76
  5. Step 5: Solve for x
    x = 172,347,281.76/18,520.13
  6. Step 6: Final answer
    x = 9,305.94

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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.