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Finding the Fourth Proportional to 13,863.96, 19,131.42 and 7,575.96

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Solution

The fourth proportional to 13,863.96, 19,131.42 and 7,575.96 is: 10,454.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,863.96 : 19,131.42 = 7,575.96 : x
  2. Step 2: Convert to fraction form
    13,863.96/19,131.42 = 7,575.96/x
  3. Step 3: Cross multiply
    13,863.96x = 19,131.42 × 7,575.96
  4. Step 4: Simplify right side
    13,863.96x = 144,938,872.66
  5. Step 5: Solve for x
    x = 144,938,872.66/13,863.96
  6. Step 6: Final answer
    x = 10,454.36

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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.