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Finding the Fourth Proportional to 18,302.14, 27,434.28 and 7,204.30

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Solution

The fourth proportional to 18,302.14, 27,434.28 and 7,204.30 is: 10,799.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,302.14 : 27,434.28 = 7,204.30 : x
  2. Step 2: Convert to fraction form
    18,302.14/27,434.28 = 7,204.30/x
  3. Step 3: Cross multiply
    18,302.14x = 27,434.28 × 7,204.30
  4. Step 4: Simplify right side
    18,302.14x = 197,644,783.40
  5. Step 5: Solve for x
    x = 197,644,783.40/18,302.14
  6. Step 6: Final answer
    x = 10,799.00

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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.