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Finding the Fourth Proportional to 16,494.40, 22,761.84 and 8,940.40

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Solution

The fourth proportional to 16,494.40, 22,761.84 and 8,940.40 is: 12,337.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494.40 : 22,761.84 = 8,940.40 : x
  2. Step 2: Convert to fraction form
    16,494.40/22,761.84 = 8,940.40/x
  3. Step 3: Cross multiply
    16,494.40x = 22,761.84 × 8,940.40
  4. Step 4: Simplify right side
    16,494.40x = 203,499,954.34
  5. Step 5: Solve for x
    x = 203,499,954.34/16,494.40
  6. Step 6: Final answer
    x = 12,337.52

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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.