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Finding the Fourth Proportional to 18,548.38, 27,762.36 and 13,616.92

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Solution

The fourth proportional to 18,548.38, 27,762.36 and 13,616.92 is: 20,381.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,548.38 : 27,762.36 = 13,616.92 : x
  2. Step 2: Convert to fraction form
    18,548.38/27,762.36 = 13,616.92/x
  3. Step 3: Cross multiply
    18,548.38x = 27,762.36 × 13,616.92
  4. Step 4: Simplify right side
    18,548.38x = 378,037,835.13
  5. Step 5: Solve for x
    x = 378,037,835.13/18,548.38
  6. Step 6: Final answer
    x = 20,381.18

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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.