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Finding the Fourth Proportional to 27,811.17, 41,722.20 and 12,228.75

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Solution

The fourth proportional to 27,811.17, 41,722.20 and 12,228.75 is: 18,345.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,811.17 : 41,722.20 = 12,228.75 : x
  2. Step 2: Convert to fraction form
    27,811.17/41,722.20 = 12,228.75/x
  3. Step 3: Cross multiply
    27,811.17x = 41,722.20 × 12,228.75
  4. Step 4: Simplify right side
    27,811.17x = 510,210,353.25
  5. Step 5: Solve for x
    x = 510,210,353.25/27,811.17
  6. Step 6: Final answer
    x = 18,345.52

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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.