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Finding the Fourth Proportional to 16,414.79, 22,649.78 and 9,341.33

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Solution

The fourth proportional to 16,414.79, 22,649.78 and 9,341.33 is: 12,889.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,414.79 : 22,649.78 = 9,341.33 : x
  2. Step 2: Convert to fraction form
    16,414.79/22,649.78 = 9,341.33/x
  3. Step 3: Cross multiply
    16,414.79x = 22,649.78 × 9,341.33
  4. Step 4: Simplify right side
    16,414.79x = 211,579,022.70
  5. Step 5: Solve for x
    x = 211,579,022.70/16,414.79
  6. Step 6: Final answer
    x = 12,889.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.