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Finding the Fourth Proportional to 16,782.34, 25,175.56 and 5,692.20

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Solution

The fourth proportional to 16,782.34, 25,175.56 and 5,692.20 is: 8,538.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,782.34 : 25,175.56 = 5,692.20 : x
  2. Step 2: Convert to fraction form
    16,782.34/25,175.56 = 5,692.20/x
  3. Step 3: Cross multiply
    16,782.34x = 25,175.56 × 5,692.20
  4. Step 4: Simplify right side
    16,782.34x = 143,304,295.47
  5. Step 5: Solve for x
    x = 143,304,295.47/16,782.34
  6. Step 6: Final answer
    x = 8,538.99

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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.