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Finding the Fourth Proportional to 13,736.25, 20,602.94 and 9,322.25

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Solution

The fourth proportional to 13,736.25, 20,602.94 and 9,322.25 is: 13,982.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,736.25 : 20,602.94 = 9,322.25 : x
  2. Step 2: Convert to fraction form
    13,736.25/20,602.94 = 9,322.25/x
  3. Step 3: Cross multiply
    13,736.25x = 20,602.94 × 9,322.25
  4. Step 4: Simplify right side
    13,736.25x = 192,065,607.79
  5. Step 5: Solve for x
    x = 192,065,607.79/13,736.25
  6. Step 6: Final answer
    x = 13,982.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.