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Finding the Fourth Proportional to 20,159.28, 27,819.25 and 11,206.15

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Solution

The fourth proportional to 20,159.28, 27,819.25 and 11,206.15 is: 15,464.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,159.28 : 27,819.25 = 11,206.15 : x
  2. Step 2: Convert to fraction form
    20,159.28/27,819.25 = 11,206.15/x
  3. Step 3: Cross multiply
    20,159.28x = 27,819.25 × 11,206.15
  4. Step 4: Simplify right side
    20,159.28x = 311,746,590.82
  5. Step 5: Solve for x
    x = 311,746,590.82/20,159.28
  6. Step 6: Final answer
    x = 15,464.17

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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.