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Finding the Fourth Proportional to 27,097.47, 40,653.53 and 11,297.27

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Solution

The fourth proportional to 27,097.47, 40,653.53 and 11,297.27 is: 16,948.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,097.47 : 40,653.53 = 11,297.27 : x
  2. Step 2: Convert to fraction form
    27,097.47/40,653.53 = 11,297.27/x
  3. Step 3: Cross multiply
    27,097.47x = 40,653.53 × 11,297.27
  4. Step 4: Simplify right side
    27,097.47x = 459,273,992.38
  5. Step 5: Solve for x
    x = 459,273,992.38/27,097.47
  6. Step 6: Final answer
    x = 16,948.96

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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.