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Finding the Fourth Proportional to 17,302.14, 25,956.84 and 5,614.44

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Solution

The fourth proportional to 17,302.14, 25,956.84 and 5,614.44 is: 8,422.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,302.14 : 25,956.84 = 5,614.44 : x
  2. Step 2: Convert to fraction form
    17,302.14/25,956.84 = 5,614.44/x
  3. Step 3: Cross multiply
    17,302.14x = 25,956.84 × 5,614.44
  4. Step 4: Simplify right side
    17,302.14x = 145,733,120.77
  5. Step 5: Solve for x
    x = 145,733,120.77/17,302.14
  6. Step 6: Final answer
    x = 8,422.84

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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.