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Finding the Fourth Proportional to 16,240, 24,360.80 and 5,296

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Solution

The fourth proportional to 16,240, 24,360.80 and 5,296 is: 7,944.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,240 : 24,360.80 = 5,296 : x
  2. Step 2: Convert to fraction form
    16,240/24,360.80 = 5,296/x
  3. Step 3: Cross multiply
    16,240x = 24,360.80 × 5,296
  4. Step 4: Simplify right side
    16,240x = 129,014,796.80
  5. Step 5: Solve for x
    x = 129,014,796.80/16,240
  6. Step 6: Final answer
    x = 7,944.26

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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.