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Finding the Fourth Proportional to 25,522.98, 38,282.85 and 7,992.42

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Solution

The fourth proportional to 25,522.98, 38,282.85 and 7,992.42 is: 11,988.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,522.98 : 38,282.85 = 7,992.42 : x
  2. Step 2: Convert to fraction form
    25,522.98/38,282.85 = 7,992.42/x
  3. Step 3: Cross multiply
    25,522.98x = 38,282.85 × 7,992.42
  4. Step 4: Simplify right side
    25,522.98x = 305,972,616.00
  5. Step 5: Solve for x
    x = 305,972,616.00/25,522.98
  6. Step 6: Final answer
    x = 11,988.12

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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.