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Finding the Fourth Proportional to 23,562.58, 35,348.20 and 7,768.54

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Solution

The fourth proportional to 23,562.58, 35,348.20 and 7,768.54 is: 11,654.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,562.58 : 35,348.20 = 7,768.54 : x
  2. Step 2: Convert to fraction form
    23,562.58/35,348.20 = 7,768.54/x
  3. Step 3: Cross multiply
    23,562.58x = 35,348.20 × 7,768.54
  4. Step 4: Simplify right side
    23,562.58x = 274,603,905.63
  5. Step 5: Solve for x
    x = 274,603,905.63/23,562.58
  6. Step 6: Final answer
    x = 11,654.24

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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.