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Finding the Fourth Proportional to 13,917.99, 19,207.61 and 8,256.09

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Solution

The fourth proportional to 13,917.99, 19,207.61 and 8,256.09 is: 11,393.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,917.99 : 19,207.61 = 8,256.09 : x
  2. Step 2: Convert to fraction form
    13,917.99/19,207.61 = 8,256.09/x
  3. Step 3: Cross multiply
    13,917.99x = 19,207.61 × 8,256.09
  4. Step 4: Simplify right side
    13,917.99x = 158,579,756.84
  5. Step 5: Solve for x
    x = 158,579,756.84/13,917.99
  6. Step 6: Final answer
    x = 11,393.87

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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.