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Finding the Fourth Proportional to 16,405.14, 22,638.96 and 8,953.14

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Solution

The fourth proportional to 16,405.14, 22,638.96 and 8,953.14 is: 12,355.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405.14 : 22,638.96 = 8,953.14 : x
  2. Step 2: Convert to fraction form
    16,405.14/22,638.96 = 8,953.14/x
  3. Step 3: Cross multiply
    16,405.14x = 22,638.96 × 8,953.14
  4. Step 4: Simplify right side
    16,405.14x = 202,689,778.33
  5. Step 5: Solve for x
    x = 202,689,778.33/16,405.14
  6. Step 6: Final answer
    x = 12,355.26

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1.5x scale

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.