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Finding the Fourth Proportional to 20,471.51, 30,709.46 and 5,680.49

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Solution

The fourth proportional to 20,471.51, 30,709.46 and 5,680.49 is: 8,521.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,471.51 : 30,709.46 = 5,680.49 : x
  2. Step 2: Convert to fraction form
    20,471.51/30,709.46 = 5,680.49/x
  3. Step 3: Cross multiply
    20,471.51x = 30,709.46 × 5,680.49
  4. Step 4: Simplify right side
    20,471.51x = 174,444,641.09
  5. Step 5: Solve for x
    x = 174,444,641.09/20,471.51
  6. Step 6: Final answer
    x = 8,521.34

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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.