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Finding the Fourth Proportional to 20,157.69, 27,815.89 and 11,202.33

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Solution

The fourth proportional to 20,157.69, 27,815.89 and 11,202.33 is: 15,458.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157.69 : 27,815.89 = 11,202.33 : x
  2. Step 2: Convert to fraction form
    20,157.69/27,815.89 = 11,202.33/x
  3. Step 3: Cross multiply
    20,157.69x = 27,815.89 × 11,202.33
  4. Step 4: Simplify right side
    20,157.69x = 311,602,779.02
  5. Step 5: Solve for x
    x = 311,602,779.02/20,157.69
  6. Step 6: Final answer
    x = 15,458.26

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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.