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Finding the Fourth Proportional to 20,497.12, 30,722.56 and 10,473.84

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Solution

The fourth proportional to 20,497.12, 30,722.56 and 10,473.84 is: 15,698.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,497.12 : 30,722.56 = 10,473.84 : x
  2. Step 2: Convert to fraction form
    20,497.12/30,722.56 = 10,473.84/x
  3. Step 3: Cross multiply
    20,497.12x = 30,722.56 × 10,473.84
  4. Step 4: Simplify right side
    20,497.12x = 321,783,151.65
  5. Step 5: Solve for x
    x = 321,783,151.65/20,497.12
  6. Step 6: Final answer
    x = 15,698.95

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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.