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Finding the Fourth Proportional to 27,100.44, 40,651.94 and 9,572.12

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Solution

The fourth proportional to 27,100.44, 40,651.94 and 9,572.12 is: 14,358.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,100.44 : 40,651.94 = 9,572.12 : x
  2. Step 2: Convert to fraction form
    27,100.44/40,651.94 = 9,572.12/x
  3. Step 3: Cross multiply
    27,100.44x = 40,651.94 × 9,572.12
  4. Step 4: Simplify right side
    27,100.44x = 389,125,247.91
  5. Step 5: Solve for x
    x = 389,125,247.91/27,100.44
  6. Step 6: Final answer
    x = 14,358.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.