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Finding the Fourth Proportional to 23,774.85, 35,648.94 and 16,286.87

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Solution

The fourth proportional to 23,774.85, 35,648.94 and 16,286.87 is: 24,421.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,774.85 : 35,648.94 = 16,286.87 : x
  2. Step 2: Convert to fraction form
    23,774.85/35,648.94 = 16,286.87/x
  3. Step 3: Cross multiply
    23,774.85x = 35,648.94 × 16,286.87
  4. Step 4: Simplify right side
    23,774.85x = 580,609,651.42
  5. Step 5: Solve for x
    x = 580,609,651.42/23,774.85
  6. Step 6: Final answer
    x = 24,421.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.