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Finding the Fourth Proportional to 23,524.41, 32,463.68 and 12,914.72

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Solution

The fourth proportional to 23,524.41, 32,463.68 and 12,914.72 is: 17,822.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,524.41 : 32,463.68 = 12,914.72 : x
  2. Step 2: Convert to fraction form
    23,524.41/32,463.68 = 12,914.72/x
  3. Step 3: Cross multiply
    23,524.41x = 32,463.68 × 12,914.72
  4. Step 4: Simplify right side
    23,524.41x = 419,259,337.37
  5. Step 5: Solve for x
    x = 419,259,337.37/23,524.41
  6. Step 6: Final answer
    x = 17,822.31

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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.