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Finding the Fourth Proportional to 27,109.78, 40,663.38 and 11,308.30

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Solution

The fourth proportional to 27,109.78, 40,663.38 and 11,308.30 is: 16,961.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,109.78 : 40,663.38 = 11,308.30 : x
  2. Step 2: Convert to fraction form
    27,109.78/40,663.38 = 11,308.30/x
  3. Step 3: Cross multiply
    27,109.78x = 40,663.38 × 11,308.30
  4. Step 4: Simplify right side
    27,109.78x = 459,833,700.05
  5. Step 5: Solve for x
    x = 459,833,700.05/27,109.78
  6. Step 6: Final answer
    x = 16,961.91

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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.