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Finding the Fourth Proportional to 23,905.28, 35,864.40 and 8,324.12

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Solution

The fourth proportional to 23,905.28, 35,864.40 and 8,324.12 is: 12,488.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,905.28 : 35,864.40 = 8,324.12 : x
  2. Step 2: Convert to fraction form
    23,905.28/35,864.40 = 8,324.12/x
  3. Step 3: Cross multiply
    23,905.28x = 35,864.40 × 8,324.12
  4. Step 4: Simplify right side
    23,905.28x = 298,539,569.33
  5. Step 5: Solve for x
    x = 298,539,569.33/23,905.28
  6. Step 6: Final answer
    x = 12,488.44

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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.