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Finding the Fourth Proportional to 12,722.13, 17,556.54 and 7,056.69

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Solution

The fourth proportional to 12,722.13, 17,556.54 and 7,056.69 is: 9,738.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,722.13 : 17,556.54 = 7,056.69 : x
  2. Step 2: Convert to fraction form
    12,722.13/17,556.54 = 7,056.69/x
  3. Step 3: Cross multiply
    12,722.13x = 17,556.54 × 7,056.69
  4. Step 4: Simplify right side
    12,722.13x = 123,890,972.47
  5. Step 5: Solve for x
    x = 123,890,972.47/12,722.13
  6. Step 6: Final answer
    x = 9,738.23

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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.