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Finding the Fourth Proportional to 15,083.44, 22,645.86 and 7,692.88

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Solution

The fourth proportional to 15,083.44, 22,645.86 and 7,692.88 is: 11,549.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,083.44 : 22,645.86 = 7,692.88 : x
  2. Step 2: Convert to fraction form
    15,083.44/22,645.86 = 7,692.88/x
  3. Step 3: Cross multiply
    15,083.44x = 22,645.86 × 7,692.88
  4. Step 4: Simplify right side
    15,083.44x = 174,211,883.48
  5. Step 5: Solve for x
    x = 174,211,883.48/15,083.44
  6. Step 6: Final answer
    x = 11,549.88

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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.