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Finding the Fourth Proportional to 12,523.98, 17,268.42 and 9,998.00

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Solution

The fourth proportional to 12,523.98, 17,268.42 and 9,998.00 is: 13,785.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.98 : 17,268.42 = 9,998.00 : x
  2. Step 2: Convert to fraction form
    12,523.98/17,268.42 = 9,998.00/x
  3. Step 3: Cross multiply
    12,523.98x = 17,268.42 × 9,998.00
  4. Step 4: Simplify right side
    12,523.98x = 172,649,576.82
  5. Step 5: Solve for x
    x = 172,649,576.82/12,523.98
  6. Step 6: Final answer
    x = 13,785.52

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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.