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Finding the Fourth Proportional to 19,813.67, 29,722.34 and 7,166.59

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Solution

The fourth proportional to 19,813.67, 29,722.34 and 7,166.59 is: 10,750.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,813.67 : 29,722.34 = 7,166.59 : x
  2. Step 2: Convert to fraction form
    19,813.67/29,722.34 = 7,166.59/x
  3. Step 3: Cross multiply
    19,813.67x = 29,722.34 × 7,166.59
  4. Step 4: Simplify right side
    19,813.67x = 213,007,824.62
  5. Step 5: Solve for x
    x = 213,007,824.62/19,813.67
  6. Step 6: Final answer
    x = 10,750.55

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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.