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Finding the Fourth Proportional to 14,550, 20,078.16 and 8,581.32

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Solution

The fourth proportional to 14,550, 20,078.16 and 8,581.32 is: 11,841.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,550 : 20,078.16 = 8,581.32 : x
  2. Step 2: Convert to fraction form
    14,550/20,078.16 = 8,581.32/x
  3. Step 3: Cross multiply
    14,550x = 20,078.16 × 8,581.32
  4. Step 4: Simplify right side
    14,550x = 172,297,115.97
  5. Step 5: Solve for x
    x = 172,297,115.97/14,550
  6. Step 6: Final answer
    x = 11,841.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.