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Finding the Fourth Proportional to 14,169.89, 19,560.21 and 9,134.39

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Solution

The fourth proportional to 14,169.89, 19,560.21 and 9,134.39 is: 12,609.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,169.89 : 19,560.21 = 9,134.39 : x
  2. Step 2: Convert to fraction form
    14,169.89/19,560.21 = 9,134.39/x
  3. Step 3: Cross multiply
    14,169.89x = 19,560.21 × 9,134.39
  4. Step 4: Simplify right side
    14,169.89x = 178,670,586.62
  5. Step 5: Solve for x
    x = 178,670,586.62/14,169.89
  6. Step 6: Final answer
    x = 12,609.17

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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.