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Finding the Fourth Proportional to 14,224.03, 19,620.69 and 9,191.21

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Solution

The fourth proportional to 14,224.03, 19,620.69 and 9,191.21 is: 12,678.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,224.03 : 19,620.69 = 9,191.21 : x
  2. Step 2: Convert to fraction form
    14,224.03/19,620.69 = 9,191.21/x
  3. Step 3: Cross multiply
    14,224.03x = 19,620.69 × 9,191.21
  4. Step 4: Simplify right side
    14,224.03x = 180,337,784.03
  5. Step 5: Solve for x
    x = 180,337,784.03/14,224.03
  6. Step 6: Final answer
    x = 12,678.39

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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.