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Finding the Fourth Proportional to 27,282.72, 40,906.53 and 11,497.98

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Solution

The fourth proportional to 27,282.72, 40,906.53 and 11,497.98 is: 17,239.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,282.72 : 40,906.53 = 11,497.98 : x
  2. Step 2: Convert to fraction form
    27,282.72/40,906.53 = 11,497.98/x
  3. Step 3: Cross multiply
    27,282.72x = 40,906.53 × 11,497.98
  4. Step 4: Simplify right side
    27,282.72x = 470,342,463.81
  5. Step 5: Solve for x
    x = 470,342,463.81/27,282.72
  6. Step 6: Final answer
    x = 17,239.57

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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.