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Finding the Fourth Proportional to 14,596.37, 19,997.09 and 14,049.70

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Solution

The fourth proportional to 14,596.37, 19,997.09 and 14,049.70 is: 19,248.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596.37 : 19,997.09 = 14,049.70 : x
  2. Step 2: Convert to fraction form
    14,596.37/19,997.09 = 14,049.70/x
  3. Step 3: Cross multiply
    14,596.37x = 19,997.09 × 14,049.70
  4. Step 4: Simplify right side
    14,596.37x = 280,953,100.50
  5. Step 5: Solve for x
    x = 280,953,100.50/14,596.37
  6. Step 6: Final answer
    x = 19,248.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.