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Finding the Fourth Proportional to 23,523.40, 32,462.66 and 12,914

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Solution

The fourth proportional to 23,523.40, 32,462.66 and 12,914 is: 17,821.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,523.40 : 32,462.66 = 12,914 : x
  2. Step 2: Convert to fraction form
    23,523.40/32,462.66 = 12,914/x
  3. Step 3: Cross multiply
    23,523.40x = 32,462.66 × 12,914
  4. Step 4: Simplify right side
    23,523.40x = 419,222,791.24
  5. Step 5: Solve for x
    x = 419,222,791.24/23,523.40
  6. Step 6: Final answer
    x = 17,821.52

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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.