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Finding the Fourth Proportional to 27,472.74, 41,212.32 and 8,746.21

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Solution

The fourth proportional to 27,472.74, 41,212.32 and 8,746.21 is: 13,120.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,472.74 : 41,212.32 = 8,746.21 : x
  2. Step 2: Convert to fraction form
    27,472.74/41,212.32 = 8,746.21/x
  3. Step 3: Cross multiply
    27,472.74x = 41,212.32 × 8,746.21
  4. Step 4: Simplify right side
    27,472.74x = 360,451,605.31
  5. Step 5: Solve for x
    x = 360,451,605.31/27,472.74
  6. Step 6: Final answer
    x = 13,120.34

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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.