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Finding the Fourth Proportional to 18,646, 27,972.84 and 7,702

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Solution

The fourth proportional to 18,646, 27,972.84 and 7,702 is: 11,554.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,646 : 27,972.84 = 7,702 : x
  2. Step 2: Convert to fraction form
    18,646/27,972.84 = 7,702/x
  3. Step 3: Cross multiply
    18,646x = 27,972.84 × 7,702
  4. Step 4: Simplify right side
    18,646x = 215,446,813.68
  5. Step 5: Solve for x
    x = 215,446,813.68/18,646
  6. Step 6: Final answer
    x = 11,554.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.