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Finding the Fourth Proportional to 12,820.90, 17,692.41 and 7,519.23

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Solution

The fourth proportional to 12,820.90, 17,692.41 and 7,519.23 is: 10,376.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,820.90 : 17,692.41 = 7,519.23 : x
  2. Step 2: Convert to fraction form
    12,820.90/17,692.41 = 7,519.23/x
  3. Step 3: Cross multiply
    12,820.90x = 17,692.41 × 7,519.23
  4. Step 4: Simplify right side
    12,820.90x = 133,033,300.04
  5. Step 5: Solve for x
    x = 133,033,300.04/12,820.90
  6. Step 6: Final answer
    x = 10,376.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.