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Finding the Fourth Proportional to 14,181.32, 21,267.66 and 8,021

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Solution

The fourth proportional to 14,181.32, 21,267.66 and 8,021 is: 12,029.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,181.32 : 21,267.66 = 8,021 : x
  2. Step 2: Convert to fraction form
    14,181.32/21,267.66 = 8,021/x
  3. Step 3: Cross multiply
    14,181.32x = 21,267.66 × 8,021
  4. Step 4: Simplify right side
    14,181.32x = 170,587,900.86
  5. Step 5: Solve for x
    x = 170,587,900.86/14,181.32
  6. Step 6: Final answer
    x = 12,029.06

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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.