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Finding the Fourth Proportional to 18,532.78, 27,802.67 and 7,440.34

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Solution

The fourth proportional to 18,532.78, 27,802.67 and 7,440.34 is: 11,161.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,532.78 : 27,802.67 = 7,440.34 : x
  2. Step 2: Convert to fraction form
    18,532.78/27,802.67 = 7,440.34/x
  3. Step 3: Cross multiply
    18,532.78x = 27,802.67 × 7,440.34
  4. Step 4: Simplify right side
    18,532.78x = 206,861,317.71
  5. Step 5: Solve for x
    x = 206,861,317.71/18,532.78
  6. Step 6: Final answer
    x = 11,161.92

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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.