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Finding the Fourth Proportional to 27,842.32, 41,779.68 and 11,203.84

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Solution

The fourth proportional to 27,842.32, 41,779.68 and 11,203.84 is: 16,812.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,842.32 : 41,779.68 = 11,203.84 : x
  2. Step 2: Convert to fraction form
    27,842.32/41,779.68 = 11,203.84/x
  3. Step 3: Cross multiply
    27,842.32x = 41,779.68 × 11,203.84
  4. Step 4: Simplify right side
    27,842.32x = 468,092,849.97
  5. Step 5: Solve for x
    x = 468,092,849.97/27,842.32
  6. Step 6: Final answer
    x = 16,812.28

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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.