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Finding the Fourth Proportional to 16,454.29, 22,706.86 and 8,900.64

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Solution

The fourth proportional to 16,454.29, 22,706.86 and 8,900.64 is: 12,282.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,454.29 : 22,706.86 = 8,900.64 : x
  2. Step 2: Convert to fraction form
    16,454.29/22,706.86 = 8,900.64/x
  3. Step 3: Cross multiply
    16,454.29x = 22,706.86 × 8,900.64
  4. Step 4: Simplify right side
    16,454.29x = 202,105,586.39
  5. Step 5: Solve for x
    x = 202,105,586.39/16,454.29
  6. Step 6: Final answer
    x = 12,282.85

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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.