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Finding the Fourth Proportional to 20,460.98, 30,692.06 and 7,980.50

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Solution

The fourth proportional to 20,460.98, 30,692.06 and 7,980.50 is: 11,970.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,460.98 : 30,692.06 = 7,980.50 : x
  2. Step 2: Convert to fraction form
    20,460.98/30,692.06 = 7,980.50/x
  3. Step 3: Cross multiply
    20,460.98x = 30,692.06 × 7,980.50
  4. Step 4: Simplify right side
    20,460.98x = 244,937,791.47
  5. Step 5: Solve for x
    x = 244,937,791.47/20,460.98
  6. Step 6: Final answer
    x = 11,970.97

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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.