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Finding the Fourth Proportional to 27,818.64, 41,715 and 12,007.44

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Solution

The fourth proportional to 27,818.64, 41,715 and 12,007.44 is: 18,005.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,818.64 : 41,715 = 12,007.44 : x
  2. Step 2: Convert to fraction form
    27,818.64/41,715 = 12,007.44/x
  3. Step 3: Cross multiply
    27,818.64x = 41,715 × 12,007.44
  4. Step 4: Simplify right side
    27,818.64x = 500,890,359.60
  5. Step 5: Solve for x
    x = 500,890,359.60/27,818.64
  6. Step 6: Final answer
    x = 18,005.57

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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.