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Finding the Fourth Proportional to 27,689.50, 41,541.18 and 7,967.62

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Solution

The fourth proportional to 27,689.50, 41,541.18 and 7,967.62 is: 11,953.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,689.50 : 41,541.18 = 7,967.62 : x
  2. Step 2: Convert to fraction form
    27,689.50/41,541.18 = 7,967.62/x
  3. Step 3: Cross multiply
    27,689.50x = 41,541.18 × 7,967.62
  4. Step 4: Simplify right side
    27,689.50x = 330,984,336.59
  5. Step 5: Solve for x
    x = 330,984,336.59/27,689.50
  6. Step 6: Final answer
    x = 11,953.42

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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.