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Finding the Fourth Proportional to 13,646.96, 20,437.60 and 9,251.09

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Solution

The fourth proportional to 13,646.96, 20,437.60 and 9,251.09 is: 13,854.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,646.96 : 20,437.60 = 9,251.09 : x
  2. Step 2: Convert to fraction form
    13,646.96/20,437.60 = 9,251.09/x
  3. Step 3: Cross multiply
    13,646.96x = 20,437.60 × 9,251.09
  4. Step 4: Simplify right side
    13,646.96x = 189,070,076.98
  5. Step 5: Solve for x
    x = 189,070,076.98/13,646.96
  6. Step 6: Final answer
    x = 13,854.37

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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.