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Finding the Fourth Proportional to 20,103.76, 30,157.56 and 9,010

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Solution

The fourth proportional to 20,103.76, 30,157.56 and 9,010 is: 13,515.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,103.76 : 30,157.56 = 9,010 : x
  2. Step 2: Convert to fraction form
    20,103.76/30,157.56 = 9,010/x
  3. Step 3: Cross multiply
    20,103.76x = 30,157.56 × 9,010
  4. Step 4: Simplify right side
    20,103.76x = 271,719,615.60
  5. Step 5: Solve for x
    x = 271,719,615.60/20,103.76
  6. Step 6: Final answer
    x = 13,515.86

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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.