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Finding the Fourth Proportional to 20,570.40, 30,857.76 and 6,716.16

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Solution

The fourth proportional to 20,570.40, 30,857.76 and 6,716.16 is: 10,074.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,570.40 : 30,857.76 = 6,716.16 : x
  2. Step 2: Convert to fraction form
    20,570.40/30,857.76 = 6,716.16/x
  3. Step 3: Cross multiply
    20,570.40x = 30,857.76 × 6,716.16
  4. Step 4: Simplify right side
    20,570.40x = 207,245,653.40
  5. Step 5: Solve for x
    x = 207,245,653.40/20,570.40
  6. Step 6: Final answer
    x = 10,074.95

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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.