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Finding the Fourth Proportional to 19,642.50, 29,469.15 and 5,791.50

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Solution

The fourth proportional to 19,642.50, 29,469.15 and 5,791.50 is: 8,688.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,642.50 : 29,469.15 = 5,791.50 : x
  2. Step 2: Convert to fraction form
    19,642.50/29,469.15 = 5,791.50/x
  3. Step 3: Cross multiply
    19,642.50x = 29,469.15 × 5,791.50
  4. Step 4: Simplify right side
    19,642.50x = 170,670,582.23
  5. Step 5: Solve for x
    x = 170,670,582.23/19,642.50
  6. Step 6: Final answer
    x = 8,688.84

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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.