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Finding the Fourth Proportional to 16,017.44, 22,104.16 and 8,944.48

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Solution

The fourth proportional to 16,017.44, 22,104.16 and 8,944.48 is: 12,343.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,017.44 : 22,104.16 = 8,944.48 : x
  2. Step 2: Convert to fraction form
    16,017.44/22,104.16 = 8,944.48/x
  3. Step 3: Cross multiply
    16,017.44x = 22,104.16 × 8,944.48
  4. Step 4: Simplify right side
    16,017.44x = 197,710,217.04
  5. Step 5: Solve for x
    x = 197,710,217.04/16,017.44
  6. Step 6: Final answer
    x = 12,343.43

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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.