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Finding the Fourth Proportional to 19,679.81, 29,510.99 and 5,636.63

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Solution

The fourth proportional to 19,679.81, 29,510.99 and 5,636.63 is: 8,452.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,679.81 : 29,510.99 = 5,636.63 : x
  2. Step 2: Convert to fraction form
    19,679.81/29,510.99 = 5,636.63/x
  3. Step 3: Cross multiply
    19,679.81x = 29,510.99 × 5,636.63
  4. Step 4: Simplify right side
    19,679.81x = 166,342,355.83
  5. Step 5: Solve for x
    x = 166,342,355.83/19,679.81
  6. Step 6: Final answer
    x = 8,452.44

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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.