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Finding the Fourth Proportional to 16,509.44, 24,768.26 and 8,193.36

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Solution

The fourth proportional to 16,509.44, 24,768.26 and 8,193.36 is: 12,292.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.44 : 24,768.26 = 8,193.36 : x
  2. Step 2: Convert to fraction form
    16,509.44/24,768.26 = 8,193.36/x
  3. Step 3: Cross multiply
    16,509.44x = 24,768.26 × 8,193.36
  4. Step 4: Simplify right side
    16,509.44x = 202,935,270.75
  5. Step 5: Solve for x
    x = 202,935,270.75/16,509.44
  6. Step 6: Final answer
    x = 12,292.07

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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.