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Finding the Fourth Proportional to 17,766.72, 24,519.68 and 10,692

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Solution

The fourth proportional to 17,766.72, 24,519.68 and 10,692 is: 14,755.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,766.72 : 24,519.68 = 10,692 : x
  2. Step 2: Convert to fraction form
    17,766.72/24,519.68 = 10,692/x
  3. Step 3: Cross multiply
    17,766.72x = 24,519.68 × 10,692
  4. Step 4: Simplify right side
    17,766.72x = 262,164,418.56
  5. Step 5: Solve for x
    x = 262,164,418.56/17,766.72
  6. Step 6: Final answer
    x = 14,755.93

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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.