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Finding the Fourth Proportional to 23,230, 32,058 and 12,619.63

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Solution

The fourth proportional to 23,230, 32,058 and 12,619.63 is: 17,415.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,230 : 32,058 = 12,619.63 : x
  2. Step 2: Convert to fraction form
    23,230/32,058 = 12,619.63/x
  3. Step 3: Cross multiply
    23,230x = 32,058 × 12,619.63
  4. Step 4: Simplify right side
    23,230x = 404,560,098.54
  5. Step 5: Solve for x
    x = 404,560,098.54/23,230
  6. Step 6: Final answer
    x = 17,415.42

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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.