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Finding the Fourth Proportional to 16,238.64, 22,408.56 and 9,165.72

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Solution

The fourth proportional to 16,238.64, 22,408.56 and 9,165.72 is: 12,648.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,238.64 : 22,408.56 = 9,165.72 : x
  2. Step 2: Convert to fraction form
    16,238.64/22,408.56 = 9,165.72/x
  3. Step 3: Cross multiply
    16,238.64x = 22,408.56 × 9,165.72
  4. Step 4: Simplify right side
    16,238.64x = 205,390,586.56
  5. Step 5: Solve for x
    x = 205,390,586.56/16,238.64
  6. Step 6: Final answer
    x = 12,648.26

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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.