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Finding the Fourth Proportional to 16,529.56, 24,771.86 and 9,123

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Solution

The fourth proportional to 16,529.56, 24,771.86 and 9,123 is: 13,672.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,529.56 : 24,771.86 = 9,123 : x
  2. Step 2: Convert to fraction form
    16,529.56/24,771.86 = 9,123/x
  3. Step 3: Cross multiply
    16,529.56x = 24,771.86 × 9,123
  4. Step 4: Simplify right side
    16,529.56x = 225,993,678.78
  5. Step 5: Solve for x
    x = 225,993,678.78/16,529.56
  6. Step 6: Final answer
    x = 13,672.09

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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.