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Finding the Fourth Proportional to 19,810.97, 29,717.82 and 5,771.12

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Solution

The fourth proportional to 19,810.97, 29,717.82 and 5,771.12 is: 8,657.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,810.97 : 29,717.82 = 5,771.12 : x
  2. Step 2: Convert to fraction form
    19,810.97/29,717.82 = 5,771.12/x
  3. Step 3: Cross multiply
    19,810.97x = 29,717.82 × 5,771.12
  4. Step 4: Simplify right side
    19,810.97x = 171,504,956.77
  5. Step 5: Solve for x
    x = 171,504,956.77/19,810.97
  6. Step 6: Final answer
    x = 8,657.07

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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.