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Finding the Fourth Proportional to 18,301.98, 27,453.69 and 8,304.78

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Solution

The fourth proportional to 18,301.98, 27,453.69 and 8,304.78 is: 12,457.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,301.98 : 27,453.69 = 8,304.78 : x
  2. Step 2: Convert to fraction form
    18,301.98/27,453.69 = 8,304.78/x
  3. Step 3: Cross multiply
    18,301.98x = 27,453.69 × 8,304.78
  4. Step 4: Simplify right side
    18,301.98x = 227,996,855.64
  5. Step 5: Solve for x
    x = 227,996,855.64/18,301.98
  6. Step 6: Final answer
    x = 12,457.50

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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.