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Finding the Fourth Proportional to 12,354.70, 18,534.93 and 3,589.78

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Solution

The fourth proportional to 12,354.70, 18,534.93 and 3,589.78 is: 5,385.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,354.70 : 18,534.93 = 3,589.78 : x
  2. Step 2: Convert to fraction form
    12,354.70/18,534.93 = 3,589.78/x
  3. Step 3: Cross multiply
    12,354.70x = 18,534.93 × 3,589.78
  4. Step 4: Simplify right side
    12,354.70x = 66,536,321.02
  5. Step 5: Solve for x
    x = 66,536,321.02/12,354.70
  6. Step 6: Final answer
    x = 5,385.51

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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.