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Finding the Fourth Proportional to 17,906.90, 26,864.23 and 6,813.80

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Solution

The fourth proportional to 17,906.90, 26,864.23 and 6,813.80 is: 10,222.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,906.90 : 26,864.23 = 6,813.80 : x
  2. Step 2: Convert to fraction form
    17,906.90/26,864.23 = 6,813.80/x
  3. Step 3: Cross multiply
    17,906.90x = 26,864.23 × 6,813.80
  4. Step 4: Simplify right side
    17,906.90x = 183,047,490.37
  5. Step 5: Solve for x
    x = 183,047,490.37/17,906.90
  6. Step 6: Final answer
    x = 10,222.18

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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.