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Finding the Fourth Proportional to 20,680.84, 30,995.34 and 10,295.56

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Solution

The fourth proportional to 20,680.84, 30,995.34 and 10,295.56 is: 15,430.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,680.84 : 30,995.34 = 10,295.56 : x
  2. Step 2: Convert to fraction form
    20,680.84/30,995.34 = 10,295.56/x
  3. Step 3: Cross multiply
    20,680.84x = 30,995.34 × 10,295.56
  4. Step 4: Simplify right side
    20,680.84x = 319,114,382.69
  5. Step 5: Solve for x
    x = 319,114,382.69/20,680.84
  6. Step 6: Final answer
    x = 15,430.44

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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.