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Finding the Fourth Proportional to 23,705, 35,557.52 and 8,122.24

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Solution

The fourth proportional to 23,705, 35,557.52 and 8,122.24 is: 12,183.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,705 : 35,557.52 = 8,122.24 : x
  2. Step 2: Convert to fraction form
    23,705/35,557.52 = 8,122.24/x
  3. Step 3: Cross multiply
    23,705x = 35,557.52 × 8,122.24
  4. Step 4: Simplify right side
    23,705x = 288,806,711.24
  5. Step 5: Solve for x
    x = 288,806,711.24/23,705
  6. Step 6: Final answer
    x = 12,183.37

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Double scale
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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.