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Finding the Fourth Proportional to 18,677.82, 27,997.29 and 6,985.98

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Solution

The fourth proportional to 18,677.82, 27,997.29 and 6,985.98 is: 10,471.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,677.82 : 27,997.29 = 6,985.98 : x
  2. Step 2: Convert to fraction form
    18,677.82/27,997.29 = 6,985.98/x
  3. Step 3: Cross multiply
    18,677.82x = 27,997.29 × 6,985.98
  4. Step 4: Simplify right side
    18,677.82x = 195,588,507.99
  5. Step 5: Solve for x
    x = 195,588,507.99/18,677.82
  6. Step 6: Final answer
    x = 10,471.70

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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.