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Finding the Fourth Proportional to 16,458.56, 24,682.72 and 5,512

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Solution

The fourth proportional to 16,458.56, 24,682.72 and 5,512 is: 8,266.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,458.56 : 24,682.72 = 5,512 : x
  2. Step 2: Convert to fraction form
    16,458.56/24,682.72 = 5,512/x
  3. Step 3: Cross multiply
    16,458.56x = 24,682.72 × 5,512
  4. Step 4: Simplify right side
    16,458.56x = 136,051,152.64
  5. Step 5: Solve for x
    x = 136,051,152.64/16,458.56
  6. Step 6: Final answer
    x = 8,266.29

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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.