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Finding the Fourth Proportional to 12,850.68, 17,723.16 and 10,193.88

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Solution

The fourth proportional to 12,850.68, 17,723.16 and 10,193.88 is: 14,059.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,850.68 : 17,723.16 = 10,193.88 : x
  2. Step 2: Convert to fraction form
    12,850.68/17,723.16 = 10,193.88/x
  3. Step 3: Cross multiply
    12,850.68x = 17,723.16 × 10,193.88
  4. Step 4: Simplify right side
    12,850.68x = 180,667,766.26
  5. Step 5: Solve for x
    x = 180,667,766.26/12,850.68
  6. Step 6: Final answer
    x = 14,059.00

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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.