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Finding the Fourth Proportional to 26,989.26, 40,509.84 and 13,147.98

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Solution

The fourth proportional to 26,989.26, 40,509.84 and 13,147.98 is: 19,734.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,989.26 : 40,509.84 = 13,147.98 : x
  2. Step 2: Convert to fraction form
    26,989.26/40,509.84 = 13,147.98/x
  3. Step 3: Cross multiply
    26,989.26x = 40,509.84 × 13,147.98
  4. Step 4: Simplify right side
    26,989.26x = 532,622,566.12
  5. Step 5: Solve for x
    x = 532,622,566.12/26,989.26
  6. Step 6: Final answer
    x = 19,734.61

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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.