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Finding the Fourth Proportional to 19,645.71, 29,453.73 and 9,791.96

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Solution

The fourth proportional to 19,645.71, 29,453.73 and 9,791.96 is: 14,680.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,645.71 : 29,453.73 = 9,791.96 : x
  2. Step 2: Convert to fraction form
    19,645.71/29,453.73 = 9,791.96/x
  3. Step 3: Cross multiply
    19,645.71x = 29,453.73 × 9,791.96
  4. Step 4: Simplify right side
    19,645.71x = 288,409,562.02
  5. Step 5: Solve for x
    x = 288,409,562.02/19,645.71
  6. Step 6: Final answer
    x = 14,680.54

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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.