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Finding the Fourth Proportional to 16,003.44, 23,845.12 and 14,257.49

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Solution

The fourth proportional to 16,003.44, 23,845.12 and 14,257.49 is: 21,243.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,003.44 : 23,845.12 = 14,257.49 : x
  2. Step 2: Convert to fraction form
    16,003.44/23,845.12 = 14,257.49/x
  3. Step 3: Cross multiply
    16,003.44x = 23,845.12 × 14,257.49
  4. Step 4: Simplify right side
    16,003.44x = 339,971,405.08
  5. Step 5: Solve for x
    x = 339,971,405.08/16,003.44
  6. Step 6: Final answer
    x = 21,243.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.