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Finding the Fourth Proportional to 17,682.48, 26,523.72 and 7,157.16

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Solution

The fourth proportional to 17,682.48, 26,523.72 and 7,157.16 is: 10,735.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,682.48 : 26,523.72 = 7,157.16 : x
  2. Step 2: Convert to fraction form
    17,682.48/26,523.72 = 7,157.16/x
  3. Step 3: Cross multiply
    17,682.48x = 26,523.72 × 7,157.16
  4. Step 4: Simplify right side
    17,682.48x = 189,834,507.84
  5. Step 5: Solve for x
    x = 189,834,507.84/17,682.48
  6. Step 6: Final answer
    x = 10,735.74

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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.