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Finding the Fourth Proportional to 16,137.95, 24,202.49 and 11,444.09

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Solution

The fourth proportional to 16,137.95, 24,202.49 and 11,444.09 is: 17,162.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,137.95 : 24,202.49 = 11,444.09 : x
  2. Step 2: Convert to fraction form
    16,137.95/24,202.49 = 11,444.09/x
  3. Step 3: Cross multiply
    16,137.95x = 24,202.49 × 11,444.09
  4. Step 4: Simplify right side
    16,137.95x = 276,975,295.55
  5. Step 5: Solve for x
    x = 276,975,295.55/16,137.95
  6. Step 6: Final answer
    x = 17,162.98

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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.