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Finding the Fourth Proportional to 16,399.65, 24,611.78 and 11,655.23

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Solution

The fourth proportional to 16,399.65, 24,611.78 and 11,655.23 is: 17,491.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,399.65 : 24,611.78 = 11,655.23 : x
  2. Step 2: Convert to fraction form
    16,399.65/24,611.78 = 11,655.23/x
  3. Step 3: Cross multiply
    16,399.65x = 24,611.78 × 11,655.23
  4. Step 4: Simplify right side
    16,399.65x = 286,855,898.33
  5. Step 5: Solve for x
    x = 286,855,898.33/16,399.65
  6. Step 6: Final answer
    x = 17,491.59

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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.