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Finding the Fourth Proportional to 14,828.93, 20,463.72 and 8,114.48

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Solution

The fourth proportional to 14,828.93, 20,463.72 and 8,114.48 is: 11,197.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,828.93 : 20,463.72 = 8,114.48 : x
  2. Step 2: Convert to fraction form
    14,828.93/20,463.72 = 8,114.48/x
  3. Step 3: Cross multiply
    14,828.93x = 20,463.72 × 8,114.48
  4. Step 4: Simplify right side
    14,828.93x = 166,052,344.35
  5. Step 5: Solve for x
    x = 166,052,344.35/14,828.93
  6. Step 6: Final answer
    x = 11,197.87

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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.