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Finding the Fourth Proportional to 26,543.84, 39,840.37 and 13,405.44

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Solution

The fourth proportional to 26,543.84, 39,840.37 and 13,405.44 is: 20,120.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,543.84 : 39,840.37 = 13,405.44 : x
  2. Step 2: Convert to fraction form
    26,543.84/39,840.37 = 13,405.44/x
  3. Step 3: Cross multiply
    26,543.84x = 39,840.37 × 13,405.44
  4. Step 4: Simplify right side
    26,543.84x = 534,077,656.10
  5. Step 5: Solve for x
    x = 534,077,656.10/26,543.84
  6. Step 6: Final answer
    x = 20,120.59

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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.