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Finding the Fourth Proportional to 12,202.41, 16,832.81 and 7,423.82

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Solution

The fourth proportional to 12,202.41, 16,832.81 and 7,423.82 is: 10,240.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.41 : 16,832.81 = 7,423.82 : x
  2. Step 2: Convert to fraction form
    12,202.41/16,832.81 = 7,423.82/x
  3. Step 3: Cross multiply
    12,202.41x = 16,832.81 × 7,423.82
  4. Step 4: Simplify right side
    12,202.41x = 124,963,667.37
  5. Step 5: Solve for x
    x = 124,963,667.37/12,202.41
  6. Step 6: Final answer
    x = 10,240.90

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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.