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Finding the Fourth Proportional to 14,310.54, 19,753.92 and 8,344.08

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Solution

The fourth proportional to 14,310.54, 19,753.92 and 8,344.08 is: 11,517.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,310.54 : 19,753.92 = 8,344.08 : x
  2. Step 2: Convert to fraction form
    14,310.54/19,753.92 = 8,344.08/x
  3. Step 3: Cross multiply
    14,310.54x = 19,753.92 × 8,344.08
  4. Step 4: Simplify right side
    14,310.54x = 164,828,288.79
  5. Step 5: Solve for x
    x = 164,828,288.79/14,310.54
  6. Step 6: Final answer
    x = 11,517.96

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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.