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Finding the Fourth Proportional to 26,824.09, 40,227.02 and 9,289.82

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Solution

The fourth proportional to 26,824.09, 40,227.02 and 9,289.82 is: 13,931.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,824.09 : 40,227.02 = 9,289.82 : x
  2. Step 2: Convert to fraction form
    26,824.09/40,227.02 = 9,289.82/x
  3. Step 3: Cross multiply
    26,824.09x = 40,227.02 × 9,289.82
  4. Step 4: Simplify right side
    26,824.09x = 373,701,527.35
  5. Step 5: Solve for x
    x = 373,701,527.35/26,824.09
  6. Step 6: Final answer
    x = 13,931.57

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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.