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Finding the Fourth Proportional to 13,883.42, 20,815.87 and 7,646.39

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Solution

The fourth proportional to 13,883.42, 20,815.87 and 7,646.39 is: 11,464.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,883.42 : 20,815.87 = 7,646.39 : x
  2. Step 2: Convert to fraction form
    13,883.42/20,815.87 = 7,646.39/x
  3. Step 3: Cross multiply
    13,883.42x = 20,815.87 × 7,646.39
  4. Step 4: Simplify right side
    13,883.42x = 159,166,260.21
  5. Step 5: Solve for x
    x = 159,166,260.21/13,883.42
  6. Step 6: Final answer
    x = 11,464.48

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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.