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Finding the Fourth Proportional to 20,029.32, 30,022.78 and 6,698.95

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Solution

The fourth proportional to 20,029.32, 30,022.78 and 6,698.95 is: 10,041.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,029.32 : 30,022.78 = 6,698.95 : x
  2. Step 2: Convert to fraction form
    20,029.32/30,022.78 = 6,698.95/x
  3. Step 3: Cross multiply
    20,029.32x = 30,022.78 × 6,698.95
  4. Step 4: Simplify right side
    20,029.32x = 201,121,102.08
  5. Step 5: Solve for x
    x = 201,121,102.08/20,029.32
  6. Step 6: Final answer
    x = 10,041.33

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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.