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Finding the Fourth Proportional to 17,702.37, 24,429.28 and 9,744.54

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Solution

The fourth proportional to 17,702.37, 24,429.28 and 9,744.54 is: 13,447.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,702.37 : 24,429.28 = 9,744.54 : x
  2. Step 2: Convert to fraction form
    17,702.37/24,429.28 = 9,744.54/x
  3. Step 3: Cross multiply
    17,702.37x = 24,429.28 × 9,744.54
  4. Step 4: Simplify right side
    17,702.37x = 238,052,135.85
  5. Step 5: Solve for x
    x = 238,052,135.85/17,702.37
  6. Step 6: Final answer
    x = 13,447.47

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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.