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Finding the Fourth Proportional to 13,967.33, 20,950.94 and 5,647.25

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Solution

The fourth proportional to 13,967.33, 20,950.94 and 5,647.25 is: 8,470.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,967.33 : 20,950.94 = 5,647.25 : x
  2. Step 2: Convert to fraction form
    13,967.33/20,950.94 = 5,647.25/x
  3. Step 3: Cross multiply
    13,967.33x = 20,950.94 × 5,647.25
  4. Step 4: Simplify right side
    13,967.33x = 118,315,084.10
  5. Step 5: Solve for x
    x = 118,315,084.10/13,967.33
  6. Step 6: Final answer
    x = 8,470.85

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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.