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Finding the Fourth Proportional to 22,408.64, 30,922.56 and 12,335.12

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Solution

The fourth proportional to 22,408.64, 30,922.56 and 12,335.12 is: 17,021.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,408.64 : 30,922.56 = 12,335.12 : x
  2. Step 2: Convert to fraction form
    22,408.64/30,922.56 = 12,335.12/x
  3. Step 3: Cross multiply
    22,408.64x = 30,922.56 × 12,335.12
  4. Step 4: Simplify right side
    22,408.64x = 381,433,488.31
  5. Step 5: Solve for x
    x = 381,433,488.31/22,408.64
  6. Step 6: Final answer
    x = 17,021.72

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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.