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Finding the Fourth Proportional to 20,050, 27,668.60 and 11,097.50

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Solution

The fourth proportional to 20,050, 27,668.60 and 11,097.50 is: 15,314.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,050 : 27,668.60 = 11,097.50 : x
  2. Step 2: Convert to fraction form
    20,050/27,668.60 = 11,097.50/x
  3. Step 3: Cross multiply
    20,050x = 27,668.60 × 11,097.50
  4. Step 4: Simplify right side
    20,050x = 307,052,288.50
  5. Step 5: Solve for x
    x = 307,052,288.50/20,050
  6. Step 6: Final answer
    x = 15,314.33

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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.