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Finding the Fourth Proportional to 20,458.44, 30,696.98 and 9,922.77

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Solution

The fourth proportional to 20,458.44, 30,696.98 and 9,922.77 is: 14,888.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,458.44 : 30,696.98 = 9,922.77 : x
  2. Step 2: Convert to fraction form
    20,458.44/30,696.98 = 9,922.77/x
  3. Step 3: Cross multiply
    20,458.44x = 30,696.98 × 9,922.77
  4. Step 4: Simplify right side
    20,458.44x = 304,599,072.23
  5. Step 5: Solve for x
    x = 304,599,072.23/20,458.44
  6. Step 6: Final answer
    x = 14,888.68

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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.