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Finding the Fourth Proportional to 16,273.84, 22,473.84 and 13,902.16

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Solution

The fourth proportional to 16,273.84, 22,473.84 and 13,902.16 is: 19,198.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,273.84 : 22,473.84 = 13,902.16 : x
  2. Step 2: Convert to fraction form
    16,273.84/22,473.84 = 13,902.16/x
  3. Step 3: Cross multiply
    16,273.84x = 22,473.84 × 13,902.16
  4. Step 4: Simplify right side
    16,273.84x = 312,434,919.49
  5. Step 5: Solve for x
    x = 312,434,919.49/16,273.84
  6. Step 6: Final answer
    x = 19,198.60

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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.