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Finding the Fourth Proportional to 20,557.94, 30,836.84 and 8,069.22

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Solution

The fourth proportional to 20,557.94, 30,836.84 and 8,069.22 is: 12,103.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,557.94 : 30,836.84 = 8,069.22 : x
  2. Step 2: Convert to fraction form
    20,557.94/30,836.84 = 8,069.22/x
  3. Step 3: Cross multiply
    20,557.94x = 30,836.84 × 8,069.22
  4. Step 4: Simplify right side
    20,557.94x = 248,829,266.24
  5. Step 5: Solve for x
    x = 248,829,266.24/20,557.94
  6. Step 6: Final answer
    x = 12,103.81

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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.