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Finding the Fourth Proportional to 18,564.81, 27,845.76 and 7,463.67

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Solution

The fourth proportional to 18,564.81, 27,845.76 and 7,463.67 is: 11,194.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,564.81 : 27,845.76 = 7,463.67 : x
  2. Step 2: Convert to fraction form
    18,564.81/27,845.76 = 7,463.67/x
  3. Step 3: Cross multiply
    18,564.81x = 27,845.76 × 7,463.67
  4. Step 4: Simplify right side
    18,564.81x = 207,831,563.54
  5. Step 5: Solve for x
    x = 207,831,563.54/18,564.81
  6. Step 6: Final answer
    x = 11,194.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.