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Finding the Fourth Proportional to 16,702.74, 23,054.85 and 9,633.78

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Solution

The fourth proportional to 16,702.74, 23,054.85 and 9,633.78 is: 13,297.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,702.74 : 23,054.85 = 9,633.78 : x
  2. Step 2: Convert to fraction form
    16,702.74/23,054.85 = 9,633.78/x
  3. Step 3: Cross multiply
    16,702.74x = 23,054.85 × 9,633.78
  4. Step 4: Simplify right side
    16,702.74x = 222,105,352.83
  5. Step 5: Solve for x
    x = 222,105,352.83/16,702.74
  6. Step 6: Final answer
    x = 13,297.54

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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.