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Finding the Fourth Proportional to 12,496.14, 17,220.94 and 8,953.20

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Solution

The fourth proportional to 12,496.14, 17,220.94 and 8,953.20 is: 12,338.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,496.14 : 17,220.94 = 8,953.20 : x
  2. Step 2: Convert to fraction form
    12,496.14/17,220.94 = 8,953.20/x
  3. Step 3: Cross multiply
    12,496.14x = 17,220.94 × 8,953.20
  4. Step 4: Simplify right side
    12,496.14x = 154,182,497.63
  5. Step 5: Solve for x
    x = 154,182,497.63/12,496.14
  6. Step 6: Final answer
    x = 12,338.41

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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.