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Finding the Fourth Proportional to 24,906.24, 34,370.88 and 13,576

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Solution

The fourth proportional to 24,906.24, 34,370.88 and 13,576 is: 18,735.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,906.24 : 34,370.88 = 13,576 : x
  2. Step 2: Convert to fraction form
    24,906.24/34,370.88 = 13,576/x
  3. Step 3: Cross multiply
    24,906.24x = 34,370.88 × 13,576
  4. Step 4: Simplify right side
    24,906.24x = 466,619,066.88
  5. Step 5: Solve for x
    x = 466,619,066.88/24,906.24
  6. Step 6: Final answer
    x = 18,735.03

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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.