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Finding the Fourth Proportional to 16,299.78, 24,446.01 and 7,533.42

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Solution

The fourth proportional to 16,299.78, 24,446.01 and 7,533.42 is: 11,298.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,299.78 : 24,446.01 = 7,533.42 : x
  2. Step 2: Convert to fraction form
    16,299.78/24,446.01 = 7,533.42/x
  3. Step 3: Cross multiply
    16,299.78x = 24,446.01 × 7,533.42
  4. Step 4: Simplify right side
    16,299.78x = 184,162,060.65
  5. Step 5: Solve for x
    x = 184,162,060.65/16,299.78
  6. Step 6: Final answer
    x = 11,298.44

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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.