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Finding the Fourth Proportional to 27,511.62, 41,267.50 and 9,981.48

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Solution

The fourth proportional to 27,511.62, 41,267.50 and 9,981.48 is: 14,972.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,511.62 : 41,267.50 = 9,981.48 : x
  2. Step 2: Convert to fraction form
    27,511.62/41,267.50 = 9,981.48/x
  3. Step 3: Cross multiply
    27,511.62x = 41,267.50 × 9,981.48
  4. Step 4: Simplify right side
    27,511.62x = 411,910,725.90
  5. Step 5: Solve for x
    x = 411,910,725.90/27,511.62
  6. Step 6: Final answer
    x = 14,972.25

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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.