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Finding the Fourth Proportional to 12,601, 17,385.76 and 8,127.36

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Solution

The fourth proportional to 12,601, 17,385.76 and 8,127.36 is: 11,213.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,601 : 17,385.76 = 8,127.36 : x
  2. Step 2: Convert to fraction form
    12,601/17,385.76 = 8,127.36/x
  3. Step 3: Cross multiply
    12,601x = 17,385.76 × 8,127.36
  4. Step 4: Simplify right side
    12,601x = 141,300,330.39
  5. Step 5: Solve for x
    x = 141,300,330.39/12,601
  6. Step 6: Final answer
    x = 11,213.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.