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Finding the Fourth Proportional to 23,993.80, 33,111.50 and 13,384.12

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Solution

The fourth proportional to 23,993.80, 33,111.50 and 13,384.12 is: 18,470.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,993.80 : 33,111.50 = 13,384.12 : x
  2. Step 2: Convert to fraction form
    23,993.80/33,111.50 = 13,384.12/x
  3. Step 3: Cross multiply
    23,993.80x = 33,111.50 × 13,384.12
  4. Step 4: Simplify right side
    23,993.80x = 443,168,289.38
  5. Step 5: Solve for x
    x = 443,168,289.38/23,993.80
  6. Step 6: Final answer
    x = 18,470.12

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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.