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Finding the Fourth Proportional to 20,152.36, 27,819.90 and 13,449.16

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Solution

The fourth proportional to 20,152.36, 27,819.90 and 13,449.16 is: 18,566.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,152.36 : 27,819.90 = 13,449.16 : x
  2. Step 2: Convert to fraction form
    20,152.36/27,819.90 = 13,449.16/x
  3. Step 3: Cross multiply
    20,152.36x = 27,819.90 × 13,449.16
  4. Step 4: Simplify right side
    20,152.36x = 374,154,286.28
  5. Step 5: Solve for x
    x = 374,154,286.28/20,152.36
  6. Step 6: Final answer
    x = 18,566.28

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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.