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Finding the Fourth Proportional to 13,917, 19,217.82 and 9,457.35

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Solution

The fourth proportional to 13,917, 19,217.82 and 9,457.35 is: 13,059.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,917 : 19,217.82 = 9,457.35 : x
  2. Step 2: Convert to fraction form
    13,917/19,217.82 = 9,457.35/x
  3. Step 3: Cross multiply
    13,917x = 19,217.82 × 9,457.35
  4. Step 4: Simplify right side
    13,917x = 181,749,649.98
  5. Step 5: Solve for x
    x = 181,749,649.98/13,917
  6. Step 6: Final answer
    x = 13,059.54

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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.