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Finding the Fourth Proportional to 27,441.99, 41,158.20 and 7,715.86

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Solution

The fourth proportional to 27,441.99, 41,158.20 and 7,715.86 is: 11,572.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,441.99 : 41,158.20 = 7,715.86 : x
  2. Step 2: Convert to fraction form
    27,441.99/41,158.20 = 7,715.86/x
  3. Step 3: Cross multiply
    27,441.99x = 41,158.20 × 7,715.86
  4. Step 4: Simplify right side
    27,441.99x = 317,570,909.05
  5. Step 5: Solve for x
    x = 317,570,909.05/27,441.99
  6. Step 6: Final answer
    x = 11,572.44

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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.