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Finding the Fourth Proportional to 16,333, 24,424.74 and 12,175.84

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Solution

The fourth proportional to 16,333, 24,424.74 and 12,175.84 is: 18,208.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,333 : 24,424.74 = 12,175.84 : x
  2. Step 2: Convert to fraction form
    16,333/24,424.74 = 12,175.84/x
  3. Step 3: Cross multiply
    16,333x = 24,424.74 × 12,175.84
  4. Step 4: Simplify right side
    16,333x = 297,391,726.28
  5. Step 5: Solve for x
    x = 297,391,726.28/16,333
  6. Step 6: Final answer
    x = 18,208.03

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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.