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Finding the Fourth Proportional to 15,920.25, 21,969.96 and 8,847.33

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Solution

The fourth proportional to 15,920.25, 21,969.96 and 8,847.33 is: 12,209.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,920.25 : 21,969.96 = 8,847.33 : x
  2. Step 2: Convert to fraction form
    15,920.25/21,969.96 = 8,847.33/x
  3. Step 3: Cross multiply
    15,920.25x = 21,969.96 × 8,847.33
  4. Step 4: Simplify right side
    15,920.25x = 194,375,486.21
  5. Step 5: Solve for x
    x = 194,375,486.21/15,920.25
  6. Step 6: Final answer
    x = 12,209.32

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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.