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Finding the Fourth Proportional to 16,012.81, 24,020.63 and 4,166.56

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Solution

The fourth proportional to 16,012.81, 24,020.63 and 4,166.56 is: 6,250.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,012.81 : 24,020.63 = 4,166.56 : x
  2. Step 2: Convert to fraction form
    16,012.81/24,020.63 = 4,166.56/x
  3. Step 3: Cross multiply
    16,012.81x = 24,020.63 × 4,166.56
  4. Step 4: Simplify right side
    16,012.81x = 100,083,396.13
  5. Step 5: Solve for x
    x = 100,083,396.13/16,012.81
  6. Step 6: Final answer
    x = 6,250.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.