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Finding the Fourth Proportional to 17,991.98, 26,971.64 and 6,298.82

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Solution

The fourth proportional to 17,991.98, 26,971.64 and 6,298.82 is: 9,442.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,991.98 : 26,971.64 = 6,298.82 : x
  2. Step 2: Convert to fraction form
    17,991.98/26,971.64 = 6,298.82/x
  3. Step 3: Cross multiply
    17,991.98x = 26,971.64 × 6,298.82
  4. Step 4: Simplify right side
    17,991.98x = 169,889,505.46
  5. Step 5: Solve for x
    x = 169,889,505.46/17,991.98
  6. Step 6: Final answer
    x = 9,442.51

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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.