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Finding the Fourth Proportional to 27,917.76, 41,876.64 and 10,392

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Solution

The fourth proportional to 27,917.76, 41,876.64 and 10,392 is: 15,588

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,917.76 : 41,876.64 = 10,392 : x
  2. Step 2: Convert to fraction form
    27,917.76/41,876.64 = 10,392/x
  3. Step 3: Cross multiply
    27,917.76x = 41,876.64 × 10,392
  4. Step 4: Simplify right side
    27,917.76x = 435,182,042.88
  5. Step 5: Solve for x
    x = 435,182,042.88/27,917.76
  6. Step 6: Final answer
    x = 15,588

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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.