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Finding the Fourth Proportional to 20,289.63, 30,433.41 and 7,142.10

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Solution

The fourth proportional to 20,289.63, 30,433.41 and 7,142.10 is: 10,712.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,289.63 : 30,433.41 = 7,142.10 : x
  2. Step 2: Convert to fraction form
    20,289.63/30,433.41 = 7,142.10/x
  3. Step 3: Cross multiply
    20,289.63x = 30,433.41 × 7,142.10
  4. Step 4: Simplify right side
    20,289.63x = 217,358,457.56
  5. Step 5: Solve for x
    x = 217,358,457.56/20,289.63
  6. Step 6: Final answer
    x = 10,712.79

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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.