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Finding the Fourth Proportional to 16,238.81, 24,355.46 and 4,549.34

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Solution

The fourth proportional to 16,238.81, 24,355.46 and 4,549.34 is: 6,823.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,238.81 : 24,355.46 = 4,549.34 : x
  2. Step 2: Convert to fraction form
    16,238.81/24,355.46 = 4,549.34/x
  3. Step 3: Cross multiply
    16,238.81x = 24,355.46 × 4,549.34
  4. Step 4: Simplify right side
    16,238.81x = 110,801,157.99
  5. Step 5: Solve for x
    x = 110,801,157.99/16,238.81
  6. Step 6: Final answer
    x = 6,823.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.