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Finding the Fourth Proportional to 15,998.73, 22,077.94 and 8,829.32

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Solution

The fourth proportional to 15,998.73, 22,077.94 and 8,829.32 is: 12,184.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,998.73 : 22,077.94 = 8,829.32 : x
  2. Step 2: Convert to fraction form
    15,998.73/22,077.94 = 8,829.32/x
  3. Step 3: Cross multiply
    15,998.73x = 22,077.94 × 8,829.32
  4. Step 4: Simplify right side
    15,998.73x = 194,933,197.20
  5. Step 5: Solve for x
    x = 194,933,197.20/15,998.73
  6. Step 6: Final answer
    x = 12,184.29

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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.