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Finding the Fourth Proportional to 16,216.98, 24,325.47 and 12,524.58

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Solution

The fourth proportional to 16,216.98, 24,325.47 and 12,524.58 is: 18,786.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,216.98 : 24,325.47 = 12,524.58 : x
  2. Step 2: Convert to fraction form
    16,216.98/24,325.47 = 12,524.58/x
  3. Step 3: Cross multiply
    16,216.98x = 24,325.47 × 12,524.58
  4. Step 4: Simplify right side
    16,216.98x = 304,666,295.05
  5. Step 5: Solve for x
    x = 304,666,295.05/16,216.98
  6. Step 6: Final answer
    x = 18,786.87

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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.