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Finding the Fourth Proportional to 22,408.11, 30,922 and 12,334.59

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Solution

The fourth proportional to 22,408.11, 30,922 and 12,334.59 is: 17,021.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,408.11 : 30,922 = 12,334.59 : x
  2. Step 2: Convert to fraction form
    22,408.11/30,922 = 12,334.59/x
  3. Step 3: Cross multiply
    22,408.11x = 30,922 × 12,334.59
  4. Step 4: Simplify right side
    22,408.11x = 381,410,191.98
  5. Step 5: Solve for x
    x = 381,410,191.98/22,408.11
  6. Step 6: Final answer
    x = 17,021.08

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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.