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Finding the Fourth Proportional to 19,812.22, 29,722.93 and 5,773.74

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Solution

The fourth proportional to 19,812.22, 29,722.93 and 5,773.74 is: 8,661.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,812.22 : 29,722.93 = 5,773.74 : x
  2. Step 2: Convert to fraction form
    19,812.22/29,722.93 = 5,773.74/x
  3. Step 3: Cross multiply
    19,812.22x = 29,722.93 × 5,773.74
  4. Step 4: Simplify right side
    19,812.22x = 171,612,469.86
  5. Step 5: Solve for x
    x = 171,612,469.86/19,812.22
  6. Step 6: Final answer
    x = 8,661.95

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Why These Related Problems?

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