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Finding the Fourth Proportional to 23,524.34, 32,464.42 and 12,914.78

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Solution

The fourth proportional to 23,524.34, 32,464.42 and 12,914.78 is: 17,822.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,524.34 : 32,464.42 = 12,914.78 : x
  2. Step 2: Convert to fraction form
    23,524.34/32,464.42 = 12,914.78/x
  3. Step 3: Cross multiply
    23,524.34x = 32,464.42 × 12,914.78
  4. Step 4: Simplify right side
    23,524.34x = 419,270,647.52
  5. Step 5: Solve for x
    x = 419,270,647.52/23,524.34
  6. Step 6: Final answer
    x = 17,822.85

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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.