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Finding the Fourth Proportional to 14,191.68, 19,588.76 and 8,226.03

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Solution

The fourth proportional to 14,191.68, 19,588.76 and 8,226.03 is: 11,354.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,191.68 : 19,588.76 = 8,226.03 : x
  2. Step 2: Convert to fraction form
    14,191.68/19,588.76 = 8,226.03/x
  3. Step 3: Cross multiply
    14,191.68x = 19,588.76 × 8,226.03
  4. Step 4: Simplify right side
    14,191.68x = 161,137,747.99
  5. Step 5: Solve for x
    x = 161,137,747.99/14,191.68
  6. Step 6: Final answer
    x = 11,354.38

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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.