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Finding the Fourth Proportional to 18,242.46, 27,367.53 and 5,929.50

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Solution

The fourth proportional to 18,242.46, 27,367.53 and 5,929.50 is: 8,895.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,242.46 : 27,367.53 = 5,929.50 : x
  2. Step 2: Convert to fraction form
    18,242.46/27,367.53 = 5,929.50/x
  3. Step 3: Cross multiply
    18,242.46x = 27,367.53 × 5,929.50
  4. Step 4: Simplify right side
    18,242.46x = 162,275,769.14
  5. Step 5: Solve for x
    x = 162,275,769.14/18,242.46
  6. Step 6: Final answer
    x = 8,895.50

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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.