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Finding the Fourth Proportional to 23,074.92, 31,843.50 and 13,003.50

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Solution

The fourth proportional to 23,074.92, 31,843.50 and 13,003.50 is: 17,944.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,074.92 : 31,843.50 = 13,003.50 : x
  2. Step 2: Convert to fraction form
    23,074.92/31,843.50 = 13,003.50/x
  3. Step 3: Cross multiply
    23,074.92x = 31,843.50 × 13,003.50
  4. Step 4: Simplify right side
    23,074.92x = 414,076,952.25
  5. Step 5: Solve for x
    x = 414,076,952.25/23,074.92
  6. Step 6: Final answer
    x = 17,944.89

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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.