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Finding the Fourth Proportional to 16,082.69, 24,014.04 and 14,405.99

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Solution

The fourth proportional to 16,082.69, 24,014.04 and 14,405.99 is: 21,510.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,082.69 : 24,014.04 = 14,405.99 : x
  2. Step 2: Convert to fraction form
    16,082.69/24,014.04 = 14,405.99/x
  3. Step 3: Cross multiply
    16,082.69x = 24,014.04 × 14,405.99
  4. Step 4: Simplify right side
    16,082.69x = 345,945,846.01
  5. Step 5: Solve for x
    x = 345,945,846.01/16,082.69
  6. Step 6: Final answer
    x = 21,510.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.