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Finding the Fourth Proportional to 22,782.94, 34,174.62 and 7,992.20

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Solution

The fourth proportional to 22,782.94, 34,174.62 and 7,992.20 is: 11,988.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,782.94 : 34,174.62 = 7,992.20 : x
  2. Step 2: Convert to fraction form
    22,782.94/34,174.62 = 7,992.20/x
  3. Step 3: Cross multiply
    22,782.94x = 34,174.62 × 7,992.20
  4. Step 4: Simplify right side
    22,782.94x = 273,130,397.96
  5. Step 5: Solve for x
    x = 273,130,397.96/22,782.94
  6. Step 6: Final answer
    x = 11,988.37

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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.