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Finding the Fourth Proportional to 17,625.50, 24,323.19 and 10,173.50

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Solution

The fourth proportional to 17,625.50, 24,323.19 and 10,173.50 is: 14,039.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,625.50 : 24,323.19 = 10,173.50 : x
  2. Step 2: Convert to fraction form
    17,625.50/24,323.19 = 10,173.50/x
  3. Step 3: Cross multiply
    17,625.50x = 24,323.19 × 10,173.50
  4. Step 4: Simplify right side
    17,625.50x = 247,451,973.47
  5. Step 5: Solve for x
    x = 247,451,973.47/17,625.50
  6. Step 6: Final answer
    x = 14,039.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.