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Finding the Fourth Proportional to 14,434.25, 21,658.55 and 8,105.19

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Solution

The fourth proportional to 14,434.25, 21,658.55 and 8,105.19 is: 12,161.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,434.25 : 21,658.55 = 8,105.19 : x
  2. Step 2: Convert to fraction form
    14,434.25/21,658.55 = 8,105.19/x
  3. Step 3: Cross multiply
    14,434.25x = 21,658.55 × 8,105.19
  4. Step 4: Simplify right side
    14,434.25x = 175,546,622.35
  5. Step 5: Solve for x
    x = 175,546,622.35/14,434.25
  6. Step 6: Final answer
    x = 12,161.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.