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Finding the Fourth Proportional to 13,113.99, 19,633.59 and 12,286.31

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Solution

The fourth proportional to 13,113.99, 19,633.59 and 12,286.31 is: 18,394.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,113.99 : 19,633.59 = 12,286.31 : x
  2. Step 2: Convert to fraction form
    13,113.99/19,633.59 = 12,286.31/x
  3. Step 3: Cross multiply
    13,113.99x = 19,633.59 × 12,286.31
  4. Step 4: Simplify right side
    13,113.99x = 241,224,274.98
  5. Step 5: Solve for x
    x = 241,224,274.98/13,113.99
  6. Step 6: Final answer
    x = 18,394.42

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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.