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Finding the Fourth Proportional to 13,950.89, 19,256.49 and 8,286.56

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Solution

The fourth proportional to 13,950.89, 19,256.49 and 8,286.56 is: 11,437.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,950.89 : 19,256.49 = 8,286.56 : x
  2. Step 2: Convert to fraction form
    13,950.89/19,256.49 = 8,286.56/x
  3. Step 3: Cross multiply
    13,950.89x = 19,256.49 × 8,286.56
  4. Step 4: Simplify right side
    13,950.89x = 159,570,059.77
  5. Step 5: Solve for x
    x = 159,570,059.77/13,950.89
  6. Step 6: Final answer
    x = 11,437.98

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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.