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Finding the Fourth Proportional to 12,820.58, 17,692.31 and 7,442.58

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Solution

The fourth proportional to 12,820.58, 17,692.31 and 7,442.58 is: 10,270.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,820.58 : 17,692.31 = 7,442.58 : x
  2. Step 2: Convert to fraction form
    12,820.58/17,692.31 = 7,442.58/x
  3. Step 3: Cross multiply
    12,820.58x = 17,692.31 × 7,442.58
  4. Step 4: Simplify right side
    12,820.58x = 131,676,395.35
  5. Step 5: Solve for x
    x = 131,676,395.35/12,820.58
  6. Step 6: Final answer
    x = 10,270.71

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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.