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Finding the Fourth Proportional to 13,690.69, 20,533.66 and 3,827.63

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Solution

The fourth proportional to 13,690.69, 20,533.66 and 3,827.63 is: 5,740.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,690.69 : 20,533.66 = 3,827.63 : x
  2. Step 2: Convert to fraction form
    13,690.69/20,533.66 = 3,827.63/x
  3. Step 3: Cross multiply
    13,690.69x = 20,533.66 × 3,827.63
  4. Step 4: Simplify right side
    13,690.69x = 78,595,253.03
  5. Step 5: Solve for x
    x = 78,595,253.03/13,690.69
  6. Step 6: Final answer
    x = 5,740.78

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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.