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Finding the Fourth Proportional to 16,946.96, 23,385.80 and 9,494.80

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Solution

The fourth proportional to 16,946.96, 23,385.80 and 9,494.80 is: 13,102.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,946.96 : 23,385.80 = 9,494.80 : x
  2. Step 2: Convert to fraction form
    16,946.96/23,385.80 = 9,494.80/x
  3. Step 3: Cross multiply
    16,946.96x = 23,385.80 × 9,494.80
  4. Step 4: Simplify right side
    16,946.96x = 222,043,493.84
  5. Step 5: Solve for x
    x = 222,043,493.84/16,946.96
  6. Step 6: Final answer
    x = 13,102.26

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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.