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Finding the Fourth Proportional to 15,882.21, 21,917.41 and 8,712.16

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Solution

The fourth proportional to 15,882.21, 21,917.41 and 8,712.16 is: 12,022.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,882.21 : 21,917.41 = 8,712.16 : x
  2. Step 2: Convert to fraction form
    15,882.21/21,917.41 = 8,712.16/x
  3. Step 3: Cross multiply
    15,882.21x = 21,917.41 × 8,712.16
  4. Step 4: Simplify right side
    15,882.21x = 190,947,906.13
  5. Step 5: Solve for x
    x = 190,947,906.13/15,882.21
  6. Step 6: Final answer
    x = 12,022.75

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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.