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Finding the Fourth Proportional to 14,828.73, 20,463.66 and 8,114.34

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Solution

The fourth proportional to 14,828.73, 20,463.66 and 8,114.34 is: 11,197.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,828.73 : 20,463.66 = 8,114.34 : x
  2. Step 2: Convert to fraction form
    14,828.73/20,463.66 = 8,114.34/x
  3. Step 3: Cross multiply
    14,828.73x = 20,463.66 × 8,114.34
  4. Step 4: Simplify right side
    14,828.73x = 166,049,094.88
  5. Step 5: Solve for x
    x = 166,049,094.88/14,828.73
  6. Step 6: Final answer
    x = 11,197.80

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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.