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Finding the Fourth Proportional to 13,255.66, 18,292.46 and 7,287.38

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Solution

The fourth proportional to 13,255.66, 18,292.46 and 7,287.38 is: 10,056.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,255.66 : 18,292.46 = 7,287.38 : x
  2. Step 2: Convert to fraction form
    13,255.66/18,292.46 = 7,287.38/x
  3. Step 3: Cross multiply
    13,255.66x = 18,292.46 × 7,287.38
  4. Step 4: Simplify right side
    13,255.66x = 133,304,107.15
  5. Step 5: Solve for x
    x = 133,304,107.15/13,255.66
  6. Step 6: Final answer
    x = 10,056.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.