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Finding the Fourth Proportional to 13,122.85, 19,679.41 and 5,329.03

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Solution

The fourth proportional to 13,122.85, 19,679.41 and 5,329.03 is: 7,991.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,122.85 : 19,679.41 = 5,329.03 : x
  2. Step 2: Convert to fraction form
    13,122.85/19,679.41 = 5,329.03/x
  3. Step 3: Cross multiply
    13,122.85x = 19,679.41 × 5,329.03
  4. Step 4: Simplify right side
    13,122.85x = 104,872,166.27
  5. Step 5: Solve for x
    x = 104,872,166.27/13,122.85
  6. Step 6: Final answer
    x = 7,991.57

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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.