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Finding the Fourth Proportional to 13,673.27, 18,867.75 and 7,706.00

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Solution

The fourth proportional to 13,673.27, 18,867.75 and 7,706.00 is: 10,633.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,673.27 : 18,867.75 = 7,706.00 : x
  2. Step 2: Convert to fraction form
    13,673.27/18,867.75 = 7,706.00/x
  3. Step 3: Cross multiply
    13,673.27x = 18,867.75 × 7,706.00
  4. Step 4: Simplify right side
    13,673.27x = 145,394,787.16
  5. Step 5: Solve for x
    x = 145,394,787.16/13,673.27
  6. Step 6: Final answer
    x = 10,633.51

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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.