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Finding the Fourth Proportional to 17,017.70, 25,538.70 and 9,614.30

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Solution

The fourth proportional to 17,017.70, 25,538.70 and 9,614.30 is: 14,428.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,017.70 : 25,538.70 = 9,614.30 : x
  2. Step 2: Convert to fraction form
    17,017.70/25,538.70 = 9,614.30/x
  3. Step 3: Cross multiply
    17,017.70x = 25,538.70 × 9,614.30
  4. Step 4: Simplify right side
    17,017.70x = 245,536,723.41
  5. Step 5: Solve for x
    x = 245,536,723.41/17,017.70
  6. Step 6: Final answer
    x = 14,428.31

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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.