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Finding the Fourth Proportional to 20,111.89, 30,168.65 and 9,576.49

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Solution

The fourth proportional to 20,111.89, 30,168.65 and 9,576.49 is: 14,365.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,111.89 : 30,168.65 = 9,576.49 : x
  2. Step 2: Convert to fraction form
    20,111.89/30,168.65 = 9,576.49/x
  3. Step 3: Cross multiply
    20,111.89x = 30,168.65 × 9,576.49
  4. Step 4: Simplify right side
    20,111.89x = 288,909,775.04
  5. Step 5: Solve for x
    x = 288,909,775.04/20,111.89
  6. Step 6: Final answer
    x = 14,365.12

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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.