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Finding the Fourth Proportional to 23,524.70, 32,464.35 and 12,914.10

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Solution

The fourth proportional to 23,524.70, 32,464.35 and 12,914.10 is: 17,821.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,524.70 : 32,464.35 = 12,914.10 : x
  2. Step 2: Convert to fraction form
    23,524.70/32,464.35 = 12,914.10/x
  3. Step 3: Cross multiply
    23,524.70x = 32,464.35 × 12,914.10
  4. Step 4: Simplify right side
    23,524.70x = 419,247,862.34
  5. Step 5: Solve for x
    x = 419,247,862.34/23,524.70
  6. Step 6: Final answer
    x = 17,821.61

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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.