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Finding the Fourth Proportional to 19,512.60, 29,243.38 and 7,834.02

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Solution

The fourth proportional to 19,512.60, 29,243.38 and 7,834.02 is: 11,740.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,512.60 : 29,243.38 = 7,834.02 : x
  2. Step 2: Convert to fraction form
    19,512.60/29,243.38 = 7,834.02/x
  3. Step 3: Cross multiply
    19,512.60x = 29,243.38 × 7,834.02
  4. Step 4: Simplify right side
    19,512.60x = 229,093,109.23
  5. Step 5: Solve for x
    x = 229,093,109.23/19,512.60
  6. Step 6: Final answer
    x = 11,740.78

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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.