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Finding the Fourth Proportional to 16,383.50, 22,609.24 and 8,931.50

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Solution

The fourth proportional to 16,383.50, 22,609.24 and 8,931.50 is: 12,325.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,383.50 : 22,609.24 = 8,931.50 : x
  2. Step 2: Convert to fraction form
    16,383.50/22,609.24 = 8,931.50/x
  3. Step 3: Cross multiply
    16,383.50x = 22,609.24 × 8,931.50
  4. Step 4: Simplify right side
    16,383.50x = 201,934,427.06
  5. Step 5: Solve for x
    x = 201,934,427.06/16,383.50
  6. Step 6: Final answer
    x = 12,325.48

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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.