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Finding the Fourth Proportional to 14,310.96, 19,728.96 and 12,342.48

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Solution

The fourth proportional to 14,310.96, 19,728.96 and 12,342.48 is: 17,015.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,310.96 : 19,728.96 = 12,342.48 : x
  2. Step 2: Convert to fraction form
    14,310.96/19,728.96 = 12,342.48/x
  3. Step 3: Cross multiply
    14,310.96x = 19,728.96 × 12,342.48
  4. Step 4: Simplify right side
    14,310.96x = 243,504,294.22
  5. Step 5: Solve for x
    x = 243,504,294.22/14,310.96
  6. Step 6: Final answer
    x = 17,015.23

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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.