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Finding the Fourth Proportional to 20,188.80, 30,284.64 and 7,037.28

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Solution

The fourth proportional to 20,188.80, 30,284.64 and 7,037.28 is: 10,556.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,188.80 : 30,284.64 = 7,037.28 : x
  2. Step 2: Convert to fraction form
    20,188.80/30,284.64 = 7,037.28/x
  3. Step 3: Cross multiply
    20,188.80x = 30,284.64 × 7,037.28
  4. Step 4: Simplify right side
    20,188.80x = 213,121,491.38
  5. Step 5: Solve for x
    x = 213,121,491.38/20,188.80
  6. Step 6: Final answer
    x = 10,556.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.