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Finding the Fourth Proportional to 16,408.64, 22,644.42 and 9,335.72

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Solution

The fourth proportional to 16,408.64, 22,644.42 and 9,335.72 is: 12,883.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,408.64 : 22,644.42 = 9,335.72 : x
  2. Step 2: Convert to fraction form
    16,408.64/22,644.42 = 9,335.72/x
  3. Step 3: Cross multiply
    16,408.64x = 22,644.42 × 9,335.72
  4. Step 4: Simplify right side
    16,408.64x = 211,401,964.68
  5. Step 5: Solve for x
    x = 211,401,964.68/16,408.64
  6. Step 6: Final answer
    x = 12,883.58

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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.