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Finding the Fourth Proportional to 27,094.32, 40,658.82 and 11,511.96

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Solution

The fourth proportional to 27,094.32, 40,658.82 and 11,511.96 is: 17,275.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,094.32 : 40,658.82 = 11,511.96 : x
  2. Step 2: Convert to fraction form
    27,094.32/40,658.82 = 11,511.96/x
  3. Step 3: Cross multiply
    27,094.32x = 40,658.82 × 11,511.96
  4. Step 4: Simplify right side
    27,094.32x = 468,062,709.49
  5. Step 5: Solve for x
    x = 468,062,709.49/27,094.32
  6. Step 6: Final answer
    x = 17,275.31

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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.