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Finding the Fourth Proportional to 27,643.46, 41,471.70 and 11,004.44

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Solution

The fourth proportional to 27,643.46, 41,471.70 and 11,004.44 is: 16,509.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,643.46 : 41,471.70 = 11,004.44 : x
  2. Step 2: Convert to fraction form
    27,643.46/41,471.70 = 11,004.44/x
  3. Step 3: Cross multiply
    27,643.46x = 41,471.70 × 11,004.44
  4. Step 4: Simplify right side
    27,643.46x = 456,372,834.35
  5. Step 5: Solve for x
    x = 456,372,834.35/27,643.46
  6. Step 6: Final answer
    x = 16,509.25

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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.