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Finding the Fourth Proportional to 14,194.68, 19,588.68 and 8,226.69

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Solution

The fourth proportional to 14,194.68, 19,588.68 and 8,226.69 is: 11,352.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,194.68 : 19,588.68 = 8,226.69 : x
  2. Step 2: Convert to fraction form
    14,194.68/19,588.68 = 8,226.69/x
  3. Step 3: Cross multiply
    14,194.68x = 19,588.68 × 8,226.69
  4. Step 4: Simplify right side
    14,194.68x = 161,149,997.87
  5. Step 5: Solve for x
    x = 161,149,997.87/14,194.68
  6. Step 6: Final answer
    x = 11,352.84

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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.