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Finding the Fourth Proportional to 23,755.98, 32,779.56 and 13,684.84

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Solution

The fourth proportional to 23,755.98, 32,779.56 and 13,684.84 is: 18,882.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,755.98 : 32,779.56 = 13,684.84 : x
  2. Step 2: Convert to fraction form
    23,755.98/32,779.56 = 13,684.84/x
  3. Step 3: Cross multiply
    23,755.98x = 32,779.56 × 13,684.84
  4. Step 4: Simplify right side
    23,755.98x = 448,583,033.87
  5. Step 5: Solve for x
    x = 448,583,033.87/23,755.98
  6. Step 6: Final answer
    x = 18,882.95

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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.