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Finding the Fourth Proportional to 16,406.70, 22,641.24 and 8,954.70

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Solution

The fourth proportional to 16,406.70, 22,641.24 and 8,954.70 is: 12,357.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,406.70 : 22,641.24 = 8,954.70 : x
  2. Step 2: Convert to fraction form
    16,406.70/22,641.24 = 8,954.70/x
  3. Step 3: Cross multiply
    16,406.70x = 22,641.24 × 8,954.70
  4. Step 4: Simplify right side
    16,406.70x = 202,745,511.83
  5. Step 5: Solve for x
    x = 202,745,511.83/16,406.70
  6. Step 6: Final answer
    x = 12,357.48

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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.