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Finding the Fourth Proportional to 27,794.66, 41,702.67 and 16,709.00

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Solution

The fourth proportional to 27,794.66, 41,702.67 and 16,709.00 is: 25,069.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,794.66 : 41,702.67 = 16,709.00 : x
  2. Step 2: Convert to fraction form
    27,794.66/41,702.67 = 16,709.00/x
  3. Step 3: Cross multiply
    27,794.66x = 41,702.67 × 16,709.00
  4. Step 4: Simplify right side
    27,794.66x = 696,809,704.52
  5. Step 5: Solve for x
    x = 696,809,704.52/27,794.66
  6. Step 6: Final answer
    x = 25,069.92

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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.