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Finding the Fourth Proportional to 13,690.64, 20,538.49 and 4,333.02

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Solution

The fourth proportional to 13,690.64, 20,538.49 and 4,333.02 is: 6,500.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,690.64 : 20,538.49 = 4,333.02 : x
  2. Step 2: Convert to fraction form
    13,690.64/20,538.49 = 4,333.02/x
  3. Step 3: Cross multiply
    13,690.64x = 20,538.49 × 4,333.02
  4. Step 4: Simplify right side
    13,690.64x = 88,993,687.94
  5. Step 5: Solve for x
    x = 88,993,687.94/13,690.64
  6. Step 6: Final answer
    x = 6,500.33

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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.