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Finding the Fourth Proportional to 19,823.09, 29,734.63 and 5,972.09

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Solution

The fourth proportional to 19,823.09, 29,734.63 and 5,972.09 is: 8,958.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,823.09 : 29,734.63 = 5,972.09 : x
  2. Step 2: Convert to fraction form
    19,823.09/29,734.63 = 5,972.09/x
  3. Step 3: Cross multiply
    19,823.09x = 29,734.63 × 5,972.09
  4. Step 4: Simplify right side
    19,823.09x = 177,577,737.80
  5. Step 5: Solve for x
    x = 177,577,737.80/19,823.09
  6. Step 6: Final answer
    x = 8,958.13

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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.