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Finding the Fourth Proportional to 27,422.74, 41,134.11 and 9,892.32

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Solution

The fourth proportional to 27,422.74, 41,134.11 and 9,892.32 is: 14,838.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,422.74 : 41,134.11 = 9,892.32 : x
  2. Step 2: Convert to fraction form
    27,422.74/41,134.11 = 9,892.32/x
  3. Step 3: Cross multiply
    27,422.74x = 41,134.11 × 9,892.32
  4. Step 4: Simplify right side
    27,422.74x = 406,911,779.04
  5. Step 5: Solve for x
    x = 406,911,779.04/27,422.74
  6. Step 6: Final answer
    x = 14,838.48

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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.