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Finding the Fourth Proportional to 15,825.92, 23,755.84 and 8,032.64

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Solution

The fourth proportional to 15,825.92, 23,755.84 and 8,032.64 is: 12,057.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,825.92 : 23,755.84 = 8,032.64 : x
  2. Step 2: Convert to fraction form
    15,825.92/23,755.84 = 8,032.64/x
  3. Step 3: Cross multiply
    15,825.92x = 23,755.84 × 8,032.64
  4. Step 4: Simplify right side
    15,825.92x = 190,822,110.62
  5. Step 5: Solve for x
    x = 190,822,110.62/15,825.92
  6. Step 6: Final answer
    x = 12,057.57

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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.