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Finding the Fourth Proportional to 23,931.68, 33,024.24 and 13,321.04

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Solution

The fourth proportional to 23,931.68, 33,024.24 and 13,321.04 is: 18,382.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,931.68 : 33,024.24 = 13,321.04 : x
  2. Step 2: Convert to fraction form
    23,931.68/33,024.24 = 13,321.04/x
  3. Step 3: Cross multiply
    23,931.68x = 33,024.24 × 13,321.04
  4. Step 4: Simplify right side
    23,931.68x = 439,917,222.01
  5. Step 5: Solve for x
    x = 439,917,222.01/23,931.68
  6. Step 6: Final answer
    x = 18,382.21

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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.