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Finding the Fourth Proportional to 13,251.56, 18,287.49 and 7,283.38

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Solution

The fourth proportional to 13,251.56, 18,287.49 and 7,283.38 is: 10,051.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,251.56 : 18,287.49 = 7,283.38 : x
  2. Step 2: Convert to fraction form
    13,251.56/18,287.49 = 7,283.38/x
  3. Step 3: Cross multiply
    13,251.56x = 18,287.49 × 7,283.38
  4. Step 4: Simplify right side
    13,251.56x = 133,194,738.92
  5. Step 5: Solve for x
    x = 133,194,738.92/13,251.56
  6. Step 6: Final answer
    x = 10,051.25

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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.