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Finding the Fourth Proportional to 14,738.40, 20,334 and 9,067.32

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Solution

The fourth proportional to 14,738.40, 20,334 and 9,067.32 is: 12,509.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,738.40 : 20,334 = 9,067.32 : x
  2. Step 2: Convert to fraction form
    14,738.40/20,334 = 9,067.32/x
  3. Step 3: Cross multiply
    14,738.40x = 20,334 × 9,067.32
  4. Step 4: Simplify right side
    14,738.40x = 184,374,884.88
  5. Step 5: Solve for x
    x = 184,374,884.88/14,738.40
  6. Step 6: Final answer
    x = 12,509.83

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Why These Related Problems?

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