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Finding the Fourth Proportional to 19,673.19, 29,512.70 and 7,190.31

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Solution

The fourth proportional to 19,673.19, 29,512.70 and 7,190.31 is: 10,786.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,673.19 : 29,512.70 = 7,190.31 : x
  2. Step 2: Convert to fraction form
    19,673.19/29,512.70 = 7,190.31/x
  3. Step 3: Cross multiply
    19,673.19x = 29,512.70 × 7,190.31
  4. Step 4: Simplify right side
    19,673.19x = 212,205,461.94
  5. Step 5: Solve for x
    x = 212,205,461.94/19,673.19
  6. Step 6: Final answer
    x = 10,786.53

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