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Finding the Fourth Proportional to 16,012.14, 24,010.50 and 7,571.61

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Solution

The fourth proportional to 16,012.14, 24,010.50 and 7,571.61 is: 11,353.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,012.14 : 24,010.50 = 7,571.61 : x
  2. Step 2: Convert to fraction form
    16,012.14/24,010.50 = 7,571.61/x
  3. Step 3: Cross multiply
    16,012.14x = 24,010.50 × 7,571.61
  4. Step 4: Simplify right side
    16,012.14x = 181,798,141.91
  5. Step 5: Solve for x
    x = 181,798,141.91/16,012.14
  6. Step 6: Final answer
    x = 11,353.77

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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.