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Finding the Fourth Proportional to 16,847.26, 25,218.31 and 12,409.93

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Solution

The fourth proportional to 16,847.26, 25,218.31 and 12,409.93 is: 18,576.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,847.26 : 25,218.31 = 12,409.93 : x
  2. Step 2: Convert to fraction form
    16,847.26/25,218.31 = 12,409.93/x
  3. Step 3: Cross multiply
    16,847.26x = 25,218.31 × 12,409.93
  4. Step 4: Simplify right side
    16,847.26x = 312,957,415.28
  5. Step 5: Solve for x
    x = 312,957,415.28/16,847.26
  6. Step 6: Final answer
    x = 18,576.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.