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Finding the Fourth Proportional to 12,744.84, 17,588.38 and 7,080.02

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Solution

The fourth proportional to 12,744.84, 17,588.38 and 7,080.02 is: 9,770.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,744.84 : 17,588.38 = 7,080.02 : x
  2. Step 2: Convert to fraction form
    12,744.84/17,588.38 = 7,080.02/x
  3. Step 3: Cross multiply
    12,744.84x = 17,588.38 × 7,080.02
  4. Step 4: Simplify right side
    12,744.84x = 124,526,174.60
  5. Step 5: Solve for x
    x = 124,526,174.60/12,744.84
  6. Step 6: Final answer
    x = 9,770.71

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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.