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Finding the Fourth Proportional to 16,413, 22,649.94 and 8,961

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Solution

The fourth proportional to 16,413, 22,649.94 and 8,961 is: 12,366.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,413 : 22,649.94 = 8,961 : x
  2. Step 2: Convert to fraction form
    16,413/22,649.94 = 8,961/x
  3. Step 3: Cross multiply
    16,413x = 22,649.94 × 8,961
  4. Step 4: Simplify right side
    16,413x = 202,966,112.34
  5. Step 5: Solve for x
    x = 202,966,112.34/16,413
  6. Step 6: Final answer
    x = 12,366.18

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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.