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Finding the Fourth Proportional to 12,821.16, 17,692.86 and 7,444.20

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Solution

The fourth proportional to 12,821.16, 17,692.86 and 7,444.20 is: 10,272.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,821.16 : 17,692.86 = 7,444.20 : x
  2. Step 2: Convert to fraction form
    12,821.16/17,692.86 = 7,444.20/x
  3. Step 3: Cross multiply
    12,821.16x = 17,692.86 × 7,444.20
  4. Step 4: Simplify right side
    12,821.16x = 131,709,188.41
  5. Step 5: Solve for x
    x = 131,709,188.41/12,821.16
  6. Step 6: Final answer
    x = 10,272.80

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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.