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Finding the Fourth Proportional to 11,739.52, 17,584.44 and 8,024.32

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Solution

The fourth proportional to 11,739.52, 17,584.44 and 8,024.32 is: 12,019.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,739.52 : 17,584.44 = 8,024.32 : x
  2. Step 2: Convert to fraction form
    11,739.52/17,584.44 = 8,024.32/x
  3. Step 3: Cross multiply
    11,739.52x = 17,584.44 × 8,024.32
  4. Step 4: Simplify right side
    11,739.52x = 141,103,173.58
  5. Step 5: Solve for x
    x = 141,103,173.58/11,739.52
  6. Step 6: Final answer
    x = 12,019.50

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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.