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Finding the Fourth Proportional to 13,916.22, 19,203.66 and 8,257.34

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Solution

The fourth proportional to 13,916.22, 19,203.66 and 8,257.34 is: 11,394.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,916.22 : 19,203.66 = 8,257.34 : x
  2. Step 2: Convert to fraction form
    13,916.22/19,203.66 = 8,257.34/x
  3. Step 3: Cross multiply
    13,916.22x = 19,203.66 × 8,257.34
  4. Step 4: Simplify right side
    13,916.22x = 158,571,053.85
  5. Step 5: Solve for x
    x = 158,571,053.85/13,916.22
  6. Step 6: Final answer
    x = 11,394.69

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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.