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Finding the Fourth Proportional to 18,628.89, 27,882.25 and 10,182.46

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Solution

The fourth proportional to 18,628.89, 27,882.25 and 10,182.46 is: 15,240.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,628.89 : 27,882.25 = 10,182.46 : x
  2. Step 2: Convert to fraction form
    18,628.89/27,882.25 = 10,182.46/x
  3. Step 3: Cross multiply
    18,628.89x = 27,882.25 × 10,182.46
  4. Step 4: Simplify right side
    18,628.89x = 283,909,927.16
  5. Step 5: Solve for x
    x = 283,909,927.16/18,628.89
  6. Step 6: Final answer
    x = 15,240.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.