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Finding the Fourth Proportional to 27,685.38, 41,521.98 and 12,880.20

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Solution

The fourth proportional to 27,685.38, 41,521.98 and 12,880.20 is: 19,317.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,685.38 : 41,521.98 = 12,880.20 : x
  2. Step 2: Convert to fraction form
    27,685.38/41,521.98 = 12,880.20/x
  3. Step 3: Cross multiply
    27,685.38x = 41,521.98 × 12,880.20
  4. Step 4: Simplify right side
    27,685.38x = 534,811,406.80
  5. Step 5: Solve for x
    x = 534,811,406.80/27,685.38
  6. Step 6: Final answer
    x = 19,317.47

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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.