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Finding the Fourth Proportional to 20,128.34, 30,188.91 and 9,033.14

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Solution

The fourth proportional to 20,128.34, 30,188.91 and 9,033.14 is: 13,548.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,128.34 : 30,188.91 = 9,033.14 : x
  2. Step 2: Convert to fraction form
    20,128.34/30,188.91 = 9,033.14/x
  3. Step 3: Cross multiply
    20,128.34x = 30,188.91 × 9,033.14
  4. Step 4: Simplify right side
    20,128.34x = 272,700,650.48
  5. Step 5: Solve for x
    x = 272,700,650.48/20,128.34
  6. Step 6: Final answer
    x = 13,548.09

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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.