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Finding the Fourth Proportional to 16,522.56, 24,778.72 and 5,576

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Solution

The fourth proportional to 16,522.56, 24,778.72 and 5,576 is: 8,362.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,522.56 : 24,778.72 = 5,576 : x
  2. Step 2: Convert to fraction form
    16,522.56/24,778.72 = 5,576/x
  3. Step 3: Cross multiply
    16,522.56x = 24,778.72 × 5,576
  4. Step 4: Simplify right side
    16,522.56x = 138,166,142.72
  5. Step 5: Solve for x
    x = 138,166,142.72/16,522.56
  6. Step 6: Final answer
    x = 8,362.27

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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.