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Finding the Fourth Proportional to 13,967.83, 20,951.69 and 5,647.75

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Solution

The fourth proportional to 13,967.83, 20,951.69 and 5,647.75 is: 8,471.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,967.83 : 20,951.69 = 5,647.75 : x
  2. Step 2: Convert to fraction form
    13,967.83/20,951.69 = 5,647.75/x
  3. Step 3: Cross multiply
    13,967.83x = 20,951.69 × 5,647.75
  4. Step 4: Simplify right side
    13,967.83x = 118,329,802.44
  5. Step 5: Solve for x
    x = 118,329,802.44/13,967.83
  6. Step 6: Final answer
    x = 8,471.60

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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.