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Finding the Fourth Proportional to 12,615.37, 17,283.14 and 12,142.44

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Solution

The fourth proportional to 12,615.37, 17,283.14 and 12,142.44 is: 16,635.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,615.37 : 17,283.14 = 12,142.44 : x
  2. Step 2: Convert to fraction form
    12,615.37/17,283.14 = 12,142.44/x
  3. Step 3: Cross multiply
    12,615.37x = 17,283.14 × 12,142.44
  4. Step 4: Simplify right side
    12,615.37x = 209,859,490.46
  5. Step 5: Solve for x
    x = 209,859,490.46/12,615.37
  6. Step 6: Final answer
    x = 16,635.22

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Why These Related Problems?

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