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Finding the Fourth Proportional to 17,804.00, 26,702.66 and 8,313.74

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Solution

The fourth proportional to 17,804.00, 26,702.66 and 8,313.74 is: 12,469.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,804.00 : 26,702.66 = 8,313.74 : x
  2. Step 2: Convert to fraction form
    17,804.00/26,702.66 = 8,313.74/x
  3. Step 3: Cross multiply
    17,804.00x = 26,702.66 × 8,313.74
  4. Step 4: Simplify right side
    17,804.00x = 221,998,959.95
  5. Step 5: Solve for x
    x = 221,998,959.95/17,804.00
  6. Step 6: Final answer
    x = 12,469.05

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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.