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Finding the Fourth Proportional to 12,615.24, 17,282.97 and 12,142.30

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Solution

The fourth proportional to 12,615.24, 17,282.97 and 12,142.30 is: 16,635.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,615.24 : 17,282.97 = 12,142.30 : x
  2. Step 2: Convert to fraction form
    12,615.24/17,282.97 = 12,142.30/x
  3. Step 3: Cross multiply
    12,615.24x = 17,282.97 × 12,142.30
  4. Step 4: Simplify right side
    12,615.24x = 209,855,006.63
  5. Step 5: Solve for x
    x = 209,855,006.63/12,615.24
  6. Step 6: Final answer
    x = 16,635.04

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.