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Finding the Fourth Proportional to 17,647.80, 26,447.40 and 11,707.80

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Solution

The fourth proportional to 17,647.80, 26,447.40 and 11,707.80 is: 17,545.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,647.80 : 26,447.40 = 11,707.80 : x
  2. Step 2: Convert to fraction form
    17,647.80/26,447.40 = 11,707.80/x
  3. Step 3: Cross multiply
    17,647.80x = 26,447.40 × 11,707.80
  4. Step 4: Simplify right side
    17,647.80x = 309,640,869.72
  5. Step 5: Solve for x
    x = 309,640,869.72/17,647.80
  6. Step 6: Final answer
    x = 17,545.58

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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.