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Finding the Fourth Proportional to 16,902.41, 23,324.41 and 9,348.30

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Solution

The fourth proportional to 16,902.41, 23,324.41 and 9,348.30 is: 12,900.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,902.41 : 23,324.41 = 9,348.30 : x
  2. Step 2: Convert to fraction form
    16,902.41/23,324.41 = 9,348.30/x
  3. Step 3: Cross multiply
    16,902.41x = 23,324.41 × 9,348.30
  4. Step 4: Simplify right side
    16,902.41x = 218,043,558.63
  5. Step 5: Solve for x
    x = 218,043,558.63/16,902.41
  6. Step 6: Final answer
    x = 12,900.15

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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.