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Finding the Fourth Proportional to 16,382.64, 24,564.12 and 6,523.44

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Solution

The fourth proportional to 16,382.64, 24,564.12 and 6,523.44 is: 9,781.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,382.64 : 24,564.12 = 6,523.44 : x
  2. Step 2: Convert to fraction form
    16,382.64/24,564.12 = 6,523.44/x
  3. Step 3: Cross multiply
    16,382.64x = 24,564.12 × 6,523.44
  4. Step 4: Simplify right side
    16,382.64x = 160,242,562.97
  5. Step 5: Solve for x
    x = 160,242,562.97/16,382.64
  6. Step 6: Final answer
    x = 9,781.24

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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.