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Finding the Fourth Proportional to 22,457.88, 33,694.11 and 10,772.01

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Solution

The fourth proportional to 22,457.88, 33,694.11 and 10,772.01 is: 16,161.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,457.88 : 33,694.11 = 10,772.01 : x
  2. Step 2: Convert to fraction form
    22,457.88/33,694.11 = 10,772.01/x
  3. Step 3: Cross multiply
    22,457.88x = 33,694.11 × 10,772.01
  4. Step 4: Simplify right side
    22,457.88x = 362,953,289.86
  5. Step 5: Solve for x
    x = 362,953,289.86/22,457.88
  6. Step 6: Final answer
    x = 16,161.51

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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.