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Finding the Fourth Proportional to 17,768.50, 24,514.40 and 11,394.59

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Solution

The fourth proportional to 17,768.50, 24,514.40 and 11,394.59 is: 15,720.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,768.50 : 24,514.40 = 11,394.59 : x
  2. Step 2: Convert to fraction form
    17,768.50/24,514.40 = 11,394.59/x
  3. Step 3: Cross multiply
    17,768.50x = 24,514.40 × 11,394.59
  4. Step 4: Simplify right side
    17,768.50x = 279,331,537.10
  5. Step 5: Solve for x
    x = 279,331,537.10/17,768.50
  6. Step 6: Final answer
    x = 15,720.60

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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.