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Finding the Fourth Proportional to 23,883.76, 35,832.87 and 9,644.92

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Solution

The fourth proportional to 23,883.76, 35,832.87 and 9,644.92 is: 14,470.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,883.76 : 35,832.87 = 9,644.92 : x
  2. Step 2: Convert to fraction form
    23,883.76/35,832.87 = 9,644.92/x
  3. Step 3: Cross multiply
    23,883.76x = 35,832.87 × 9,644.92
  4. Step 4: Simplify right side
    23,883.76x = 345,605,164.52
  5. Step 5: Solve for x
    x = 345,605,164.52/23,883.76
  6. Step 6: Final answer
    x = 14,470.30

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1.5x scale

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.