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Finding the Fourth Proportional to 18,123.24, 27,184.90 and 8,265.36

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Solution

The fourth proportional to 18,123.24, 27,184.90 and 8,265.36 is: 12,398.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,123.24 : 27,184.90 = 8,265.36 : x
  2. Step 2: Convert to fraction form
    18,123.24/27,184.90 = 8,265.36/x
  3. Step 3: Cross multiply
    18,123.24x = 27,184.90 × 8,265.36
  4. Step 4: Simplify right side
    18,123.24x = 224,692,985.06
  5. Step 5: Solve for x
    x = 224,692,985.06/18,123.24
  6. Step 6: Final answer
    x = 12,398.06

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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.