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Finding the Fourth Proportional to 20,157.45, 27,815.16 and 11,203.50

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Solution

The fourth proportional to 20,157.45, 27,815.16 and 11,203.50 is: 15,459.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157.45 : 27,815.16 = 11,203.50 : x
  2. Step 2: Convert to fraction form
    20,157.45/27,815.16 = 11,203.50/x
  3. Step 3: Cross multiply
    20,157.45x = 27,815.16 × 11,203.50
  4. Step 4: Simplify right side
    20,157.45x = 311,627,145.06
  5. Step 5: Solve for x
    x = 311,627,145.06/20,157.45
  6. Step 6: Final answer
    x = 15,459.65

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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.