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Finding the Fourth Proportional to 12,580.36, 17,361.24 and 7,277.02

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Solution

The fourth proportional to 12,580.36, 17,361.24 and 7,277.02 is: 10,042.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580.36 : 17,361.24 = 7,277.02 : x
  2. Step 2: Convert to fraction form
    12,580.36/17,361.24 = 7,277.02/x
  3. Step 3: Cross multiply
    12,580.36x = 17,361.24 × 7,277.02
  4. Step 4: Simplify right side
    12,580.36x = 126,338,090.70
  5. Step 5: Solve for x
    x = 126,338,090.70/12,580.36
  6. Step 6: Final answer
    x = 10,042.49

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