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Finding the Fourth Proportional to 13,690.52, 20,532.64 and 3,830.49

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Solution

The fourth proportional to 13,690.52, 20,532.64 and 3,830.49 is: 5,744.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,690.52 : 20,532.64 = 3,830.49 : x
  2. Step 2: Convert to fraction form
    13,690.52/20,532.64 = 3,830.49/x
  3. Step 3: Cross multiply
    13,690.52x = 20,532.64 × 3,830.49
  4. Step 4: Simplify right side
    13,690.52x = 78,650,072.19
  5. Step 5: Solve for x
    x = 78,650,072.19/13,690.52
  6. Step 6: Final answer
    x = 5,744.86

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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.