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Finding the Fourth Proportional to 26,741.89, 40,099.84 and 13,409.16

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Solution

The fourth proportional to 26,741.89, 40,099.84 and 13,409.16 is: 20,107.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,741.89 : 40,099.84 = 13,409.16 : x
  2. Step 2: Convert to fraction form
    26,741.89/40,099.84 = 13,409.16/x
  3. Step 3: Cross multiply
    26,741.89x = 40,099.84 × 13,409.16
  4. Step 4: Simplify right side
    26,741.89x = 537,705,170.53
  5. Step 5: Solve for x
    x = 537,705,170.53/26,741.89
  6. Step 6: Final answer
    x = 20,107.22

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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.