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Finding the Fourth Proportional to 20,141.82, 30,207.45 and 9,042.30

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Solution

The fourth proportional to 20,141.82, 30,207.45 and 9,042.30 is: 13,561.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,141.82 : 30,207.45 = 9,042.30 : x
  2. Step 2: Convert to fraction form
    20,141.82/30,207.45 = 9,042.30/x
  3. Step 3: Cross multiply
    20,141.82x = 30,207.45 × 9,042.30
  4. Step 4: Simplify right side
    20,141.82x = 273,144,825.14
  5. Step 5: Solve for x
    x = 273,144,825.14/20,141.82
  6. Step 6: Final answer
    x = 13,561.08

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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.