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Finding the Fourth Proportional to 27,887.84, 41,760.45 and 15,394

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Solution

The fourth proportional to 27,887.84, 41,760.45 and 15,394 is: 23,051.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,887.84 : 41,760.45 = 15,394 : x
  2. Step 2: Convert to fraction form
    27,887.84/41,760.45 = 15,394/x
  3. Step 3: Cross multiply
    27,887.84x = 41,760.45 × 15,394
  4. Step 4: Simplify right side
    27,887.84x = 642,860,367.30
  5. Step 5: Solve for x
    x = 642,860,367.30/27,887.84
  6. Step 6: Final answer
    x = 23,051.64

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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.