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Finding the Fourth Proportional to 17,027.96, 23,498.72 and 9,953

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Solution

The fourth proportional to 17,027.96, 23,498.72 and 9,953 is: 13,735.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,027.96 : 23,498.72 = 9,953 : x
  2. Step 2: Convert to fraction form
    17,027.96/23,498.72 = 9,953/x
  3. Step 3: Cross multiply
    17,027.96x = 23,498.72 × 9,953
  4. Step 4: Simplify right side
    17,027.96x = 233,882,760.16
  5. Step 5: Solve for x
    x = 233,882,760.16/17,027.96
  6. Step 6: Final answer
    x = 13,735.22

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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.