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Finding the Fourth Proportional to 16,138.76, 24,213 and 5,046.62

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Solution

The fourth proportional to 16,138.76, 24,213 and 5,046.62 is: 7,571.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,138.76 : 24,213 = 5,046.62 : x
  2. Step 2: Convert to fraction form
    16,138.76/24,213 = 5,046.62/x
  3. Step 3: Cross multiply
    16,138.76x = 24,213 × 5,046.62
  4. Step 4: Simplify right side
    16,138.76x = 122,193,810.06
  5. Step 5: Solve for x
    x = 122,193,810.06/16,138.76
  6. Step 6: Final answer
    x = 7,571.45

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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.