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Finding the Fourth Proportional to 12,998.85, 17,941.28 and 8,453.63

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Solution

The fourth proportional to 12,998.85, 17,941.28 and 8,453.63 is: 11,667.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,998.85 : 17,941.28 = 8,453.63 : x
  2. Step 2: Convert to fraction form
    12,998.85/17,941.28 = 8,453.63/x
  3. Step 3: Cross multiply
    12,998.85x = 17,941.28 × 8,453.63
  4. Step 4: Simplify right side
    12,998.85x = 151,668,942.85
  5. Step 5: Solve for x
    x = 151,668,942.85/12,998.85
  6. Step 6: Final answer
    x = 11,667.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.