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Finding the Fourth Proportional to 18,483.72, 27,734.70 and 11,461.83

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Solution

The fourth proportional to 18,483.72, 27,734.70 and 11,461.83 is: 17,198.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,483.72 : 27,734.70 = 11,461.83 : x
  2. Step 2: Convert to fraction form
    18,483.72/27,734.70 = 11,461.83/x
  3. Step 3: Cross multiply
    18,483.72x = 27,734.70 × 11,461.83
  4. Step 4: Simplify right side
    18,483.72x = 317,890,416.50
  5. Step 5: Solve for x
    x = 317,890,416.50/18,483.72
  6. Step 6: Final answer
    x = 17,198.40

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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.