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Finding the Fourth Proportional to 20,023.70, 27,627.71 and 11,408.06

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Solution

The fourth proportional to 20,023.70, 27,627.71 and 11,408.06 is: 15,740.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,023.70 : 27,627.71 = 11,408.06 : x
  2. Step 2: Convert to fraction form
    20,023.70/27,627.71 = 11,408.06/x
  3. Step 3: Cross multiply
    20,023.70x = 27,627.71 × 11,408.06
  4. Step 4: Simplify right side
    20,023.70x = 315,178,378.16
  5. Step 5: Solve for x
    x = 315,178,378.16/20,023.70
  6. Step 6: Final answer
    x = 15,740.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.