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Finding the Fourth Proportional to 20,072.98, 30,078.19 and 7,586.18

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Solution

The fourth proportional to 20,072.98, 30,078.19 and 7,586.18 is: 11,367.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,072.98 : 30,078.19 = 7,586.18 : x
  2. Step 2: Convert to fraction form
    20,072.98/30,078.19 = 7,586.18/x
  3. Step 3: Cross multiply
    20,072.98x = 30,078.19 × 7,586.18
  4. Step 4: Simplify right side
    20,072.98x = 228,178,577.22
  5. Step 5: Solve for x
    x = 228,178,577.22/20,072.98
  6. Step 6: Final answer
    x = 11,367.45

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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.