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Finding the Fourth Proportional to 16,409.53, 24,614.12 and 11,131.47

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Solution

The fourth proportional to 16,409.53, 24,614.12 and 11,131.47 is: 16,697.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409.53 : 24,614.12 = 11,131.47 : x
  2. Step 2: Convert to fraction form
    16,409.53/24,614.12 = 11,131.47/x
  3. Step 3: Cross multiply
    16,409.53x = 24,614.12 × 11,131.47
  4. Step 4: Simplify right side
    16,409.53x = 273,991,338.36
  5. Step 5: Solve for x
    x = 273,991,338.36/16,409.53
  6. Step 6: Final answer
    x = 16,697.09

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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.