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Finding the Fourth Proportional to 18,384.72, 27,577.16 and 5,237.21

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Solution

The fourth proportional to 18,384.72, 27,577.16 and 5,237.21 is: 7,855.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,384.72 : 27,577.16 = 5,237.21 : x
  2. Step 2: Convert to fraction form
    18,384.72/27,577.16 = 5,237.21/x
  3. Step 3: Cross multiply
    18,384.72x = 27,577.16 × 5,237.21
  4. Step 4: Simplify right side
    18,384.72x = 144,427,285.40
  5. Step 5: Solve for x
    x = 144,427,285.40/18,384.72
  6. Step 6: Final answer
    x = 7,855.83

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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.