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Finding the Fourth Proportional to 22,649.66, 31,245.63 and 14,694.38

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Solution

The fourth proportional to 22,649.66, 31,245.63 and 14,694.38 is: 20,271.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,649.66 : 31,245.63 = 14,694.38 : x
  2. Step 2: Convert to fraction form
    22,649.66/31,245.63 = 14,694.38/x
  3. Step 3: Cross multiply
    22,649.66x = 31,245.63 × 14,694.38
  4. Step 4: Simplify right side
    22,649.66x = 459,135,160.56
  5. Step 5: Solve for x
    x = 459,135,160.56/22,649.66
  6. Step 6: Final answer
    x = 20,271.17

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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.