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Finding the Fourth Proportional to 22,403.22, 33,512.43 and 18,409.50

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Solution

The fourth proportional to 22,403.22, 33,512.43 and 18,409.50 is: 27,538.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,403.22 : 33,512.43 = 18,409.50 : x
  2. Step 2: Convert to fraction form
    22,403.22/33,512.43 = 18,409.50/x
  3. Step 3: Cross multiply
    22,403.22x = 33,512.43 × 18,409.50
  4. Step 4: Simplify right side
    22,403.22x = 616,947,080.09
  5. Step 5: Solve for x
    x = 616,947,080.09/22,403.22
  6. Step 6: Final answer
    x = 27,538.32

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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.