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Finding the Fourth Proportional to 13,324.25, 18,387.47 and 7,735.25

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Solution

The fourth proportional to 13,324.25, 18,387.47 and 7,735.25 is: 10,674.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,324.25 : 18,387.47 = 7,735.25 : x
  2. Step 2: Convert to fraction form
    13,324.25/18,387.47 = 7,735.25/x
  3. Step 3: Cross multiply
    13,324.25x = 18,387.47 × 7,735.25
  4. Step 4: Simplify right side
    13,324.25x = 142,231,677.32
  5. Step 5: Solve for x
    x = 142,231,677.32/13,324.25
  6. Step 6: Final answer
    x = 10,674.65

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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.