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Finding the Fourth Proportional to 20,118, 27,762.86 and 11,165.52

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Solution

The fourth proportional to 20,118, 27,762.86 and 11,165.52 is: 15,408.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,118 : 27,762.86 = 11,165.52 : x
  2. Step 2: Convert to fraction form
    20,118/27,762.86 = 11,165.52/x
  3. Step 3: Cross multiply
    20,118x = 27,762.86 × 11,165.52
  4. Step 4: Simplify right side
    20,118x = 309,986,768.59
  5. Step 5: Solve for x
    x = 309,986,768.59/20,118
  6. Step 6: Final answer
    x = 15,408.43

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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.