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Finding the Fourth Proportional to 27,821.12, 41,738.04 and 9,353.12

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Solution

The fourth proportional to 27,821.12, 41,738.04 and 9,353.12 is: 14,031.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,821.12 : 41,738.04 = 9,353.12 : x
  2. Step 2: Convert to fraction form
    27,821.12/41,738.04 = 9,353.12/x
  3. Step 3: Cross multiply
    27,821.12x = 41,738.04 × 9,353.12
  4. Step 4: Simplify right side
    27,821.12x = 390,380,896.68
  5. Step 5: Solve for x
    x = 390,380,896.68/27,821.12
  6. Step 6: Final answer
    x = 14,031.82

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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.