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Finding the Fourth Proportional to 22,153.64, 33,242.87 and 11,765.12

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Solution

The fourth proportional to 22,153.64, 33,242.87 and 11,765.12 is: 17,654.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,153.64 : 33,242.87 = 11,765.12 : x
  2. Step 2: Convert to fraction form
    22,153.64/33,242.87 = 11,765.12/x
  3. Step 3: Cross multiply
    22,153.64x = 33,242.87 × 11,765.12
  4. Step 4: Simplify right side
    22,153.64x = 391,106,217.89
  5. Step 5: Solve for x
    x = 391,106,217.89/22,153.64
  6. Step 6: Final answer
    x = 17,654.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.