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Finding the Fourth Proportional to 20,430.46, 30,579.94 and 13,820.23

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Solution

The fourth proportional to 20,430.46, 30,579.94 and 13,820.23 is: 20,685.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,430.46 : 30,579.94 = 13,820.23 : x
  2. Step 2: Convert to fraction form
    20,430.46/30,579.94 = 13,820.23/x
  3. Step 3: Cross multiply
    20,430.46x = 30,579.94 × 13,820.23
  4. Step 4: Simplify right side
    20,430.46x = 422,621,804.19
  5. Step 5: Solve for x
    x = 422,621,804.19/20,430.46
  6. Step 6: Final answer
    x = 20,685.87

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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.