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Finding the Fourth Proportional to 17,223.48, 23,769.18 and 13,491

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Solution

The fourth proportional to 17,223.48, 23,769.18 and 13,491 is: 18,618.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,223.48 : 23,769.18 = 13,491 : x
  2. Step 2: Convert to fraction form
    17,223.48/23,769.18 = 13,491/x
  3. Step 3: Cross multiply
    17,223.48x = 23,769.18 × 13,491
  4. Step 4: Simplify right side
    17,223.48x = 320,670,007.38
  5. Step 5: Solve for x
    x = 320,670,007.38/17,223.48
  6. Step 6: Final answer
    x = 18,618.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.