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Finding the Fourth Proportional to 16,405, 22,638.98 and 8,953

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Solution

The fourth proportional to 16,405, 22,638.98 and 8,953 is: 12,355.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405 : 22,638.98 = 8,953 : x
  2. Step 2: Convert to fraction form
    16,405/22,638.98 = 8,953/x
  3. Step 3: Cross multiply
    16,405x = 22,638.98 × 8,953
  4. Step 4: Simplify right side
    16,405x = 202,686,787.94
  5. Step 5: Solve for x
    x = 202,686,787.94/16,405
  6. Step 6: Final answer
    x = 12,355.18

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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.