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Finding the Fourth Proportional to 14,003.37, 21,008.30 and 8,164.89

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Solution

The fourth proportional to 14,003.37, 21,008.30 and 8,164.89 is: 12,249.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,003.37 : 21,008.30 = 8,164.89 : x
  2. Step 2: Convert to fraction form
    14,003.37/21,008.30 = 8,164.89/x
  3. Step 3: Cross multiply
    14,003.37x = 21,008.30 × 8,164.89
  4. Step 4: Simplify right side
    14,003.37x = 171,530,417.76
  5. Step 5: Solve for x
    x = 171,530,417.76/14,003.37
  6. Step 6: Final answer
    x = 12,249.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.