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Finding the Fourth Proportional to 20,042.69, 30,048.03 and 9,507.42

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Solution

The fourth proportional to 20,042.69, 30,048.03 and 9,507.42 is: 14,253.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,042.69 : 30,048.03 = 9,507.42 : x
  2. Step 2: Convert to fraction form
    20,042.69/30,048.03 = 9,507.42/x
  3. Step 3: Cross multiply
    20,042.69x = 30,048.03 × 9,507.42
  4. Step 4: Simplify right side
    20,042.69x = 285,679,241.38
  5. Step 5: Solve for x
    x = 285,679,241.38/20,042.69
  6. Step 6: Final answer
    x = 14,253.54

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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.