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Finding the Fourth Proportional to 14,647.72, 20,213.74 and 7,933.18

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Solution

The fourth proportional to 14,647.72, 20,213.74 and 7,933.18 is: 10,947.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,647.72 : 20,213.74 = 7,933.18 : x
  2. Step 2: Convert to fraction form
    14,647.72/20,213.74 = 7,933.18/x
  3. Step 3: Cross multiply
    14,647.72x = 20,213.74 × 7,933.18
  4. Step 4: Simplify right side
    14,647.72x = 160,359,237.89
  5. Step 5: Solve for x
    x = 160,359,237.89/14,647.72
  6. Step 6: Final answer
    x = 10,947.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.