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Finding the Fourth Proportional to 14,000, 20,997.84 and 4,644.08

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Solution

The fourth proportional to 14,000, 20,997.84 and 4,644.08 is: 6,965.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,000 : 20,997.84 = 4,644.08 : x
  2. Step 2: Convert to fraction form
    14,000/20,997.84 = 4,644.08/x
  3. Step 3: Cross multiply
    14,000x = 20,997.84 × 4,644.08
  4. Step 4: Simplify right side
    14,000x = 97,515,648.79
  5. Step 5: Solve for x
    x = 97,515,648.79/14,000
  6. Step 6: Final answer
    x = 6,965.40

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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.