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Finding the Fourth Proportional to 27,513.92, 41,287.27 and 9,985.11

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Solution

The fourth proportional to 27,513.92, 41,287.27 and 9,985.11 is: 14,983.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,513.92 : 41,287.27 = 9,985.11 : x
  2. Step 2: Convert to fraction form
    27,513.92/41,287.27 = 9,985.11/x
  3. Step 3: Cross multiply
    27,513.92x = 41,287.27 × 9,985.11
  4. Step 4: Simplify right side
    27,513.92x = 412,258,060.73
  5. Step 5: Solve for x
    x = 412,258,060.73/27,513.92
  6. Step 6: Final answer
    x = 14,983.62

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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.