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Finding the Fourth Proportional to 27,461.14, 41,191.71 and 9,926.87

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Solution

The fourth proportional to 27,461.14, 41,191.71 and 9,926.87 is: 14,890.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,461.14 : 41,191.71 = 9,926.87 : x
  2. Step 2: Convert to fraction form
    27,461.14/41,191.71 = 9,926.87/x
  3. Step 3: Cross multiply
    27,461.14x = 41,191.71 × 9,926.87
  4. Step 4: Simplify right side
    27,461.14x = 408,904,750.25
  5. Step 5: Solve for x
    x = 408,904,750.25/27,461.14
  6. Step 6: Final answer
    x = 14,890.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.