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Finding the Fourth Proportional to 12,954.94, 17,877.81 and 7,365.94

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Solution

The fourth proportional to 12,954.94, 17,877.81 and 7,365.94 is: 10,164.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,954.94 : 17,877.81 = 7,365.94 : x
  2. Step 2: Convert to fraction form
    12,954.94/17,877.81 = 7,365.94/x
  3. Step 3: Cross multiply
    12,954.94x = 17,877.81 × 7,365.94
  4. Step 4: Simplify right side
    12,954.94x = 131,686,858.72
  5. Step 5: Solve for x
    x = 131,686,858.72/12,954.94
  6. Step 6: Final answer
    x = 10,164.99

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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.