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Finding the Fourth Proportional to 23,759.52, 35,642.94 and 8,173.50

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Solution

The fourth proportional to 23,759.52, 35,642.94 and 8,173.50 is: 12,261.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,759.52 : 35,642.94 = 8,173.50 : x
  2. Step 2: Convert to fraction form
    23,759.52/35,642.94 = 8,173.50/x
  3. Step 3: Cross multiply
    23,759.52x = 35,642.94 × 8,173.50
  4. Step 4: Simplify right side
    23,759.52x = 291,327,570.09
  5. Step 5: Solve for x
    x = 291,327,570.09/23,759.52
  6. Step 6: Final answer
    x = 12,261.51

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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.