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Finding the Fourth Proportional to 27,414.90, 41,129.10 and 7,693.20

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Solution

The fourth proportional to 27,414.90, 41,129.10 and 7,693.20 is: 11,541.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,414.90 : 41,129.10 = 7,693.20 : x
  2. Step 2: Convert to fraction form
    27,414.90/41,129.10 = 7,693.20/x
  3. Step 3: Cross multiply
    27,414.90x = 41,129.10 × 7,693.20
  4. Step 4: Simplify right side
    27,414.90x = 316,414,392.12
  5. Step 5: Solve for x
    x = 316,414,392.12/27,414.90
  6. Step 6: Final answer
    x = 11,541.69

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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.