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Finding the Fourth Proportional to 13,952.52, 19,241.24 and 9,164.04

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Solution

The fourth proportional to 13,952.52, 19,241.24 and 9,164.04 is: 12,637.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,952.52 : 19,241.24 = 9,164.04 : x
  2. Step 2: Convert to fraction form
    13,952.52/19,241.24 = 9,164.04/x
  3. Step 3: Cross multiply
    13,952.52x = 19,241.24 × 9,164.04
  4. Step 4: Simplify right side
    13,952.52x = 176,327,493.01
  5. Step 5: Solve for x
    x = 176,327,493.01/13,952.52
  6. Step 6: Final answer
    x = 12,637.68

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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.