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Finding the Fourth Proportional to 16,011, 24,016.50 and 4,324.22

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Solution

The fourth proportional to 16,011, 24,016.50 and 4,324.22 is: 6,486.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,011 : 24,016.50 = 4,324.22 : x
  2. Step 2: Convert to fraction form
    16,011/24,016.50 = 4,324.22/x
  3. Step 3: Cross multiply
    16,011x = 24,016.50 × 4,324.22
  4. Step 4: Simplify right side
    16,011x = 103,852,599.61
  5. Step 5: Solve for x
    x = 103,852,599.61/16,011
  6. Step 6: Final answer
    x = 6,486.33

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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.