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Finding the Fourth Proportional to 19,847.33, 29,772.75 and 7,367.50

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Solution

The fourth proportional to 19,847.33, 29,772.75 and 7,367.50 is: 11,051.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,847.33 : 29,772.75 = 7,367.50 : x
  2. Step 2: Convert to fraction form
    19,847.33/29,772.75 = 7,367.50/x
  3. Step 3: Cross multiply
    19,847.33x = 29,772.75 × 7,367.50
  4. Step 4: Simplify right side
    19,847.33x = 219,350,735.63
  5. Step 5: Solve for x
    x = 219,350,735.63/19,847.33
  6. Step 6: Final answer
    x = 11,051.90

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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.