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Finding the Fourth Proportional to 27,491.80, 41,235.30 and 9,023.80

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Solution

The fourth proportional to 27,491.80, 41,235.30 and 9,023.80 is: 13,534.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,491.80 : 41,235.30 = 9,023.80 : x
  2. Step 2: Convert to fraction form
    27,491.80/41,235.30 = 9,023.80/x
  3. Step 3: Cross multiply
    27,491.80x = 41,235.30 × 9,023.80
  4. Step 4: Simplify right side
    27,491.80x = 372,099,100.14
  5. Step 5: Solve for x
    x = 372,099,100.14/27,491.80
  6. Step 6: Final answer
    x = 13,534.91

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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.