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Finding the Fourth Proportional to 23,930.86, 33,024.24 and 13,320.48

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Solution

The fourth proportional to 23,930.86, 33,024.24 and 13,320.48 is: 18,382.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,930.86 : 33,024.24 = 13,320.48 : x
  2. Step 2: Convert to fraction form
    23,930.86/33,024.24 = 13,320.48/x
  3. Step 3: Cross multiply
    23,930.86x = 33,024.24 × 13,320.48
  4. Step 4: Simplify right side
    23,930.86x = 439,898,728.44
  5. Step 5: Solve for x
    x = 439,898,728.44/23,930.86
  6. Step 6: Final answer
    x = 18,382.07

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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.