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Finding the Fourth Proportional to 19,817.74, 29,723.37 and 5,963.50

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Solution

The fourth proportional to 19,817.74, 29,723.37 and 5,963.50 is: 8,944.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,817.74 : 29,723.37 = 5,963.50 : x
  2. Step 2: Convert to fraction form
    19,817.74/29,723.37 = 5,963.50/x
  3. Step 3: Cross multiply
    19,817.74x = 29,723.37 × 5,963.50
  4. Step 4: Simplify right side
    19,817.74x = 177,255,317.00
  5. Step 5: Solve for x
    x = 177,255,317.00/19,817.74
  6. Step 6: Final answer
    x = 8,944.28

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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.