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Finding the Fourth Proportional to 14,902.67, 20,565.60 and 8,096.63

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Solution

The fourth proportional to 14,902.67, 20,565.60 and 8,096.63 is: 11,173.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,902.67 : 20,565.60 = 8,096.63 : x
  2. Step 2: Convert to fraction form
    14,902.67/20,565.60 = 8,096.63/x
  3. Step 3: Cross multiply
    14,902.67x = 20,565.60 × 8,096.63
  4. Step 4: Simplify right side
    14,902.67x = 166,512,053.93
  5. Step 5: Solve for x
    x = 166,512,053.93/14,902.67
  6. Step 6: Final answer
    x = 11,173.30

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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.