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Finding the Fourth Proportional to 27,336.91, 41,017.27 and 9,580.34

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Solution

The fourth proportional to 27,336.91, 41,017.27 and 9,580.34 is: 14,374.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,336.91 : 41,017.27 = 9,580.34 : x
  2. Step 2: Convert to fraction form
    27,336.91/41,017.27 = 9,580.34/x
  3. Step 3: Cross multiply
    27,336.91x = 41,017.27 × 9,580.34
  4. Step 4: Simplify right side
    27,336.91x = 392,959,489.03
  5. Step 5: Solve for x
    x = 392,959,489.03/27,336.91
  6. Step 6: Final answer
    x = 14,374.69

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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.