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Finding the Fourth Proportional to 17,782.58, 24,511.60 and 13,999.75

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Solution

The fourth proportional to 17,782.58, 24,511.60 and 13,999.75 is: 19,297.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782.58 : 24,511.60 = 13,999.75 : x
  2. Step 2: Convert to fraction form
    17,782.58/24,511.60 = 13,999.75/x
  3. Step 3: Cross multiply
    17,782.58x = 24,511.60 × 13,999.75
  4. Step 4: Simplify right side
    17,782.58x = 343,156,272.10
  5. Step 5: Solve for x
    x = 343,156,272.10/17,782.58
  6. Step 6: Final answer
    x = 19,297.33

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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.