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Finding the Fourth Proportional to 27,355.32, 41,007.06 and 11,763

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Solution

The fourth proportional to 27,355.32, 41,007.06 and 11,763 is: 17,633.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,355.32 : 41,007.06 = 11,763 : x
  2. Step 2: Convert to fraction form
    27,355.32/41,007.06 = 11,763/x
  3. Step 3: Cross multiply
    27,355.32x = 41,007.06 × 11,763
  4. Step 4: Simplify right side
    27,355.32x = 482,366,046.78
  5. Step 5: Solve for x
    x = 482,366,046.78/27,355.32
  6. Step 6: Final answer
    x = 17,633.35

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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.