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Finding the Fourth Proportional to 15,739.94, 23,608.05 and 5,209.99

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Solution

The fourth proportional to 15,739.94, 23,608.05 and 5,209.99 is: 7,814.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,739.94 : 23,608.05 = 5,209.99 : x
  2. Step 2: Convert to fraction form
    15,739.94/23,608.05 = 5,209.99/x
  3. Step 3: Cross multiply
    15,739.94x = 23,608.05 × 5,209.99
  4. Step 4: Simplify right side
    15,739.94x = 122,997,625.86
  5. Step 5: Solve for x
    x = 122,997,625.86/15,739.94
  6. Step 6: Final answer
    x = 7,814.36

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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.