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Finding the Fourth Proportional to 16,185.01, 24,272.39 and 6,823.30

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Solution

The fourth proportional to 16,185.01, 24,272.39 and 6,823.30 is: 10,232.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,185.01 : 24,272.39 = 6,823.30 : x
  2. Step 2: Convert to fraction form
    16,185.01/24,272.39 = 6,823.30/x
  3. Step 3: Cross multiply
    16,185.01x = 24,272.39 × 6,823.30
  4. Step 4: Simplify right side
    16,185.01x = 165,617,755.06
  5. Step 5: Solve for x
    x = 165,617,755.06/16,185.01
  6. Step 6: Final answer
    x = 10,232.79

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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.