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Finding the Fourth Proportional to 13,690.54, 20,535.84 and 3,302.29

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Solution

The fourth proportional to 13,690.54, 20,535.84 and 3,302.29 is: 4,953.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,690.54 : 20,535.84 = 3,302.29 : x
  2. Step 2: Convert to fraction form
    13,690.54/20,535.84 = 3,302.29/x
  3. Step 3: Cross multiply
    13,690.54x = 20,535.84 × 3,302.29
  4. Step 4: Simplify right side
    13,690.54x = 67,815,299.07
  5. Step 5: Solve for x
    x = 67,815,299.07/13,690.54
  6. Step 6: Final answer
    x = 4,953.44

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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.