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Finding the Fourth Proportional to 18,405.20, 27,616.00 and 9,638.06

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Solution

The fourth proportional to 18,405.20, 27,616.00 and 9,638.06 is: 14,461.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,405.20 : 27,616.00 = 9,638.06 : x
  2. Step 2: Convert to fraction form
    18,405.20/27,616.00 = 9,638.06/x
  3. Step 3: Cross multiply
    18,405.20x = 27,616.00 × 9,638.06
  4. Step 4: Simplify right side
    18,405.20x = 266,164,709.90
  5. Step 5: Solve for x
    x = 266,164,709.90/18,405.20
  6. Step 6: Final answer
    x = 14,461.38

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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.