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Finding the Fourth Proportional to 20,195.32, 30,293.12 and 7,047.64

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Solution

The fourth proportional to 20,195.32, 30,293.12 and 7,047.64 is: 10,571.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,195.32 : 30,293.12 = 7,047.64 : x
  2. Step 2: Convert to fraction form
    20,195.32/30,293.12 = 7,047.64/x
  3. Step 3: Cross multiply
    20,195.32x = 30,293.12 × 7,047.64
  4. Step 4: Simplify right side
    20,195.32x = 213,495,004.24
  5. Step 5: Solve for x
    x = 213,495,004.24/20,195.32
  6. Step 6: Final answer
    x = 10,571.51

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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.