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Finding the Fourth Proportional to 20,158.64, 27,819.95 and 11,206.32

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Solution

The fourth proportional to 20,158.64, 27,819.95 and 11,206.32 is: 15,465.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,158.64 : 27,819.95 = 11,206.32 : x
  2. Step 2: Convert to fraction form
    20,158.64/27,819.95 = 11,206.32/x
  3. Step 3: Cross multiply
    20,158.64x = 27,819.95 × 11,206.32
  4. Step 4: Simplify right side
    20,158.64x = 311,759,206.05
  5. Step 5: Solve for x
    x = 311,759,206.05/20,158.64
  6. Step 6: Final answer
    x = 15,465.29

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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.