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Finding the Fourth Proportional to 16,561.64, 24,837.19 and 5,466.26

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Solution

The fourth proportional to 16,561.64, 24,837.19 and 5,466.26 is: 8,197.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,561.64 : 24,837.19 = 5,466.26 : x
  2. Step 2: Convert to fraction form
    16,561.64/24,837.19 = 5,466.26/x
  3. Step 3: Cross multiply
    16,561.64x = 24,837.19 × 5,466.26
  4. Step 4: Simplify right side
    16,561.64x = 135,766,538.21
  5. Step 5: Solve for x
    x = 135,766,538.21/16,561.64
  6. Step 6: Final answer
    x = 8,197.65

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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.