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Finding the Fourth Proportional to 17,174.35, 23,702.39 and 13,828.24

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Solution

The fourth proportional to 17,174.35, 23,702.39 and 13,828.24 is: 19,084.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,174.35 : 23,702.39 = 13,828.24 : x
  2. Step 2: Convert to fraction form
    17,174.35/23,702.39 = 13,828.24/x
  3. Step 3: Cross multiply
    17,174.35x = 23,702.39 × 13,828.24
  4. Step 4: Simplify right side
    17,174.35x = 327,762,337.49
  5. Step 5: Solve for x
    x = 327,762,337.49/17,174.35
  6. Step 6: Final answer
    x = 19,084.41

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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.