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Finding the Fourth Proportional to 19,782.79, 29,674.10 and 8,096.02

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Solution

The fourth proportional to 19,782.79, 29,674.10 and 8,096.02 is: 12,143.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.79 : 29,674.10 = 8,096.02 : x
  2. Step 2: Convert to fraction form
    19,782.79/29,674.10 = 8,096.02/x
  3. Step 3: Cross multiply
    19,782.79x = 29,674.10 × 8,096.02
  4. Step 4: Simplify right side
    19,782.79x = 240,242,053.14
  5. Step 5: Solve for x
    x = 240,242,053.14/19,782.79
  6. Step 6: Final answer
    x = 12,143.99

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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.