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Finding the Fourth Proportional to 22,661.37, 33,995.51 and 11,562

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Solution

The fourth proportional to 22,661.37, 33,995.51 and 11,562 is: 17,344.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,661.37 : 33,995.51 = 11,562 : x
  2. Step 2: Convert to fraction form
    22,661.37/33,995.51 = 11,562/x
  3. Step 3: Cross multiply
    22,661.37x = 33,995.51 × 11,562
  4. Step 4: Simplify right side
    22,661.37x = 393,056,028.81
  5. Step 5: Solve for x
    x = 393,056,028.81/22,661.37
  6. Step 6: Final answer
    x = 17,344.76

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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.