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Finding the Fourth Proportional to 17,867.98, 26,804.04 and 6,782.95

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Solution

The fourth proportional to 17,867.98, 26,804.04 and 6,782.95 is: 10,175.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,867.98 : 26,804.04 = 6,782.95 : x
  2. Step 2: Convert to fraction form
    17,867.98/26,804.04 = 6,782.95/x
  3. Step 3: Cross multiply
    17,867.98x = 26,804.04 × 6,782.95
  4. Step 4: Simplify right side
    17,867.98x = 181,810,463.12
  5. Step 5: Solve for x
    x = 181,810,463.12/17,867.98
  6. Step 6: Final answer
    x = 10,175.21

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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.