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Finding the Fourth Proportional to 27,522.32, 41,265.25 and 9,992.30

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Solution

The fourth proportional to 27,522.32, 41,265.25 and 9,992.30 is: 14,981.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,522.32 : 41,265.25 = 9,992.30 : x
  2. Step 2: Convert to fraction form
    27,522.32/41,265.25 = 9,992.30/x
  3. Step 3: Cross multiply
    27,522.32x = 41,265.25 × 9,992.30
  4. Step 4: Simplify right side
    27,522.32x = 412,334,526.27
  5. Step 5: Solve for x
    x = 412,334,526.27/27,522.32
  6. Step 6: Final answer
    x = 14,981.83

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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.