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Finding the Fourth Proportional to 19,783.55, 29,675.22 and 8,096.76

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Solution

The fourth proportional to 19,783.55, 29,675.22 and 8,096.76 is: 12,145.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,783.55 : 29,675.22 = 8,096.76 : x
  2. Step 2: Convert to fraction form
    19,783.55/29,675.22 = 8,096.76/x
  3. Step 3: Cross multiply
    19,783.55x = 29,675.22 × 8,096.76
  4. Step 4: Simplify right side
    19,783.55x = 240,273,134.29
  5. Step 5: Solve for x
    x = 240,273,134.29/19,783.55
  6. Step 6: Final answer
    x = 12,145.10

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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.