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Finding the Fourth Proportional to 14,002.35, 20,997.43 and 4,142.31

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Solution

The fourth proportional to 14,002.35, 20,997.43 and 4,142.31 is: 6,211.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002.35 : 20,997.43 = 4,142.31 : x
  2. Step 2: Convert to fraction form
    14,002.35/20,997.43 = 4,142.31/x
  3. Step 3: Cross multiply
    14,002.35x = 20,997.43 × 4,142.31
  4. Step 4: Simplify right side
    14,002.35x = 86,977,864.26
  5. Step 5: Solve for x
    x = 86,977,864.26/14,002.35
  6. Step 6: Final answer
    x = 6,211.66

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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.