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Finding the Fourth Proportional to 16,128.25, 24,188.19 and 7,238.50

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Solution

The fourth proportional to 16,128.25, 24,188.19 and 7,238.50 is: 10,855.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,128.25 : 24,188.19 = 7,238.50 : x
  2. Step 2: Convert to fraction form
    16,128.25/24,188.19 = 7,238.50/x
  3. Step 3: Cross multiply
    16,128.25x = 24,188.19 × 7,238.50
  4. Step 4: Simplify right side
    16,128.25x = 175,086,213.32
  5. Step 5: Solve for x
    x = 175,086,213.32/16,128.25
  6. Step 6: Final answer
    x = 10,855.87

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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.