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Finding the Fourth Proportional to 20,141.82, 30,208.16 and 7,657.40

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Solution

The fourth proportional to 20,141.82, 30,208.16 and 7,657.40 is: 11,484.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,141.82 : 30,208.16 = 7,657.40 : x
  2. Step 2: Convert to fraction form
    20,141.82/30,208.16 = 7,657.40/x
  3. Step 3: Cross multiply
    20,141.82x = 30,208.16 × 7,657.40
  4. Step 4: Simplify right side
    20,141.82x = 231,316,059.05
  5. Step 5: Solve for x
    x = 231,316,059.05/20,141.82
  6. Step 6: Final answer
    x = 11,484.37

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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.