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Finding the Fourth Proportional to 13,872.26, 19,143.16 and 7,903.42

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Solution

The fourth proportional to 13,872.26, 19,143.16 and 7,903.42 is: 10,906.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.26 : 19,143.16 = 7,903.42 : x
  2. Step 2: Convert to fraction form
    13,872.26/19,143.16 = 7,903.42/x
  3. Step 3: Cross multiply
    13,872.26x = 19,143.16 × 7,903.42
  4. Step 4: Simplify right side
    13,872.26x = 151,296,495.90
  5. Step 5: Solve for x
    x = 151,296,495.90/13,872.26
  6. Step 6: Final answer
    x = 10,906.40

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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.