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Finding the Fourth Proportional to 22,662.12, 33,989.66 and 11,577

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Solution

The fourth proportional to 22,662.12, 33,989.66 and 11,577 is: 17,363.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,662.12 : 33,989.66 = 11,577 : x
  2. Step 2: Convert to fraction form
    22,662.12/33,989.66 = 11,577/x
  3. Step 3: Cross multiply
    22,662.12x = 33,989.66 × 11,577
  4. Step 4: Simplify right side
    22,662.12x = 393,498,293.82
  5. Step 5: Solve for x
    x = 393,498,293.82/22,662.12
  6. Step 6: Final answer
    x = 17,363.70

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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.