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Finding the Fourth Proportional to 16,244.24, 24,357.24 and 7,906.50

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Solution

The fourth proportional to 16,244.24, 24,357.24 and 7,906.50 is: 11,855.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,244.24 : 24,357.24 = 7,906.50 : x
  2. Step 2: Convert to fraction form
    16,244.24/24,357.24 = 7,906.50/x
  3. Step 3: Cross multiply
    16,244.24x = 24,357.24 × 7,906.50
  4. Step 4: Simplify right side
    16,244.24x = 192,580,518.06
  5. Step 5: Solve for x
    x = 192,580,518.06/16,244.24
  6. Step 6: Final answer
    x = 11,855.31

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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.