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Finding the Fourth Proportional to 17,866.14, 26,804.44 and 8,003.22

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Solution

The fourth proportional to 17,866.14, 26,804.44 and 8,003.22 is: 12,007.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,866.14 : 26,804.44 = 8,003.22 : x
  2. Step 2: Convert to fraction form
    17,866.14/26,804.44 = 8,003.22/x
  3. Step 3: Cross multiply
    17,866.14x = 26,804.44 × 8,003.22
  4. Step 4: Simplify right side
    17,866.14x = 214,521,830.30
  5. Step 5: Solve for x
    x = 214,521,830.30/17,866.14
  6. Step 6: Final answer
    x = 12,007.17

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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.