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Finding the Fourth Proportional to 22,313.33, 30,772 and 14,767.30

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Solution

The fourth proportional to 22,313.33, 30,772 and 14,767.30 is: 20,365.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,313.33 : 30,772 = 14,767.30 : x
  2. Step 2: Convert to fraction form
    22,313.33/30,772 = 14,767.30/x
  3. Step 3: Cross multiply
    22,313.33x = 30,772 × 14,767.30
  4. Step 4: Simplify right side
    22,313.33x = 454,419,355.60
  5. Step 5: Solve for x
    x = 454,419,355.60/22,313.33
  6. Step 6: Final answer
    x = 20,365.38

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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.