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Finding the Fourth Proportional to 16,297.86, 24,448.38 and 5,201.87

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Solution

The fourth proportional to 16,297.86, 24,448.38 and 5,201.87 is: 7,803.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297.86 : 24,448.38 = 5,201.87 : x
  2. Step 2: Convert to fraction form
    16,297.86/24,448.38 = 5,201.87/x
  3. Step 3: Cross multiply
    16,297.86x = 24,448.38 × 5,201.87
  4. Step 4: Simplify right side
    16,297.86x = 127,177,319.50
  5. Step 5: Solve for x
    x = 127,177,319.50/16,297.86
  6. Step 6: Final answer
    x = 7,803.31

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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.