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Finding the Fourth Proportional to 17,895.24, 26,835.96 and 6,796.08

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Solution

The fourth proportional to 17,895.24, 26,835.96 and 6,796.08 is: 10,191.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,895.24 : 26,835.96 = 6,796.08 : x
  2. Step 2: Convert to fraction form
    17,895.24/26,835.96 = 6,796.08/x
  3. Step 3: Cross multiply
    17,895.24x = 26,835.96 × 6,796.08
  4. Step 4: Simplify right side
    17,895.24x = 182,379,331.04
  5. Step 5: Solve for x
    x = 182,379,331.04/17,895.24
  6. Step 6: Final answer
    x = 10,191.50

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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.