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Finding the Fourth Proportional to 18,302.80, 27,461.40 and 7,207.60

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Solution

The fourth proportional to 18,302.80, 27,461.40 and 7,207.60 is: 10,814.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,302.80 : 27,461.40 = 7,207.60 : x
  2. Step 2: Convert to fraction form
    18,302.80/27,461.40 = 7,207.60/x
  3. Step 3: Cross multiply
    18,302.80x = 27,461.40 × 7,207.60
  4. Step 4: Simplify right side
    18,302.80x = 197,930,786.64
  5. Step 5: Solve for x
    x = 197,930,786.64/18,302.80
  6. Step 6: Final answer
    x = 10,814.24

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