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Finding the Fourth Proportional to 12,906.36, 17,810.55 and 7,241.13

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Solution

The fourth proportional to 12,906.36, 17,810.55 and 7,241.13 is: 9,992.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906.36 : 17,810.55 = 7,241.13 : x
  2. Step 2: Convert to fraction form
    12,906.36/17,810.55 = 7,241.13/x
  3. Step 3: Cross multiply
    12,906.36x = 17,810.55 × 7,241.13
  4. Step 4: Simplify right side
    12,906.36x = 128,968,507.92
  5. Step 5: Solve for x
    x = 128,968,507.92/12,906.36
  6. Step 6: Final answer
    x = 9,992.63

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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.