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Finding the Fourth Proportional to 36,026.40, 54,023.40 and 13,832.40

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Solution

The fourth proportional to 36,026.40, 54,023.40 and 13,832.40 is: 20,742.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,026.40 : 54,023.40 = 13,832.40 : x
  2. Step 2: Convert to fraction form
    36,026.40/54,023.40 = 13,832.40/x
  3. Step 3: Cross multiply
    36,026.40x = 54,023.40 × 13,832.40
  4. Step 4: Simplify right side
    36,026.40x = 747,273,278.16
  5. Step 5: Solve for x
    x = 747,273,278.16/36,026.40
  6. Step 6: Final answer
    x = 20,742.38

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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.