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Finding the Fourth Proportional to 19,821.90, 29,729.97 and 5,778.17

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Solution

The fourth proportional to 19,821.90, 29,729.97 and 5,778.17 is: 8,666.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,821.90 : 29,729.97 = 5,778.17 : x
  2. Step 2: Convert to fraction form
    19,821.90/29,729.97 = 5,778.17/x
  3. Step 3: Cross multiply
    19,821.90x = 29,729.97 × 5,778.17
  4. Step 4: Simplify right side
    19,821.90x = 171,784,672.11
  5. Step 5: Solve for x
    x = 171,784,672.11/19,821.90
  6. Step 6: Final answer
    x = 8,666.41

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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.