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Finding the Fourth Proportional to 27,685.41, 41,526.62 and 13,631.43

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Solution

The fourth proportional to 27,685.41, 41,526.62 and 13,631.43 is: 20,446.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,685.41 : 41,526.62 = 13,631.43 : x
  2. Step 2: Convert to fraction form
    27,685.41/41,526.62 = 13,631.43/x
  3. Step 3: Cross multiply
    27,685.41x = 41,526.62 × 13,631.43
  4. Step 4: Simplify right side
    27,685.41x = 566,067,006.03
  5. Step 5: Solve for x
    x = 566,067,006.03/27,685.41
  6. Step 6: Final answer
    x = 20,446.40

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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.