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Finding the Fourth Proportional to 13,264.31, 18,304.76 and 7,675.31

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Solution

The fourth proportional to 13,264.31, 18,304.76 and 7,675.31 is: 10,591.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,264.31 : 18,304.76 = 7,675.31 : x
  2. Step 2: Convert to fraction form
    13,264.31/18,304.76 = 7,675.31/x
  3. Step 3: Cross multiply
    13,264.31x = 18,304.76 × 7,675.31
  4. Step 4: Simplify right side
    13,264.31x = 140,494,772.43
  5. Step 5: Solve for x
    x = 140,494,772.43/13,264.31
  6. Step 6: Final answer
    x = 10,591.94

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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.