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Finding the Fourth Proportional to 27,010, 40,512.96 and 9,481

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Solution

The fourth proportional to 27,010, 40,512.96 and 9,481 is: 14,220.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,010 : 40,512.96 = 9,481 : x
  2. Step 2: Convert to fraction form
    27,010/40,512.96 = 9,481/x
  3. Step 3: Cross multiply
    27,010x = 40,512.96 × 9,481
  4. Step 4: Simplify right side
    27,010x = 384,103,373.76
  5. Step 5: Solve for x
    x = 384,103,373.76/27,010
  6. Step 6: Final answer
    x = 14,220.78

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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.