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Finding the Fourth Proportional to 17,515.34, 24,167.86 and 10,442.42

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Solution

The fourth proportional to 17,515.34, 24,167.86 and 10,442.42 is: 14,408.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,515.34 : 24,167.86 = 10,442.42 : x
  2. Step 2: Convert to fraction form
    17,515.34/24,167.86 = 10,442.42/x
  3. Step 3: Cross multiply
    17,515.34x = 24,167.86 × 10,442.42
  4. Step 4: Simplify right side
    17,515.34x = 252,370,944.62
  5. Step 5: Solve for x
    x = 252,370,944.62/17,515.34
  6. Step 6: Final answer
    x = 14,408.57

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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.