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Finding the Fourth Proportional to 26,743.89, 40,102.84 and 13,411.16

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Solution

The fourth proportional to 26,743.89, 40,102.84 and 13,411.16 is: 20,110.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,743.89 : 40,102.84 = 13,411.16 : x
  2. Step 2: Convert to fraction form
    26,743.89/40,102.84 = 13,411.16/x
  3. Step 3: Cross multiply
    26,743.89x = 40,102.84 × 13,411.16
  4. Step 4: Simplify right side
    26,743.89x = 537,825,603.69
  5. Step 5: Solve for x
    x = 537,825,603.69/26,743.89
  6. Step 6: Final answer
    x = 20,110.22

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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.