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Finding the Fourth Proportional to 22,582.32, 33,894.12 and 11,496.66

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Solution

The fourth proportional to 22,582.32, 33,894.12 and 11,496.66 is: 17,255.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,582.32 : 33,894.12 = 11,496.66 : x
  2. Step 2: Convert to fraction form
    22,582.32/33,894.12 = 11,496.66/x
  3. Step 3: Cross multiply
    22,582.32x = 33,894.12 × 11,496.66
  4. Step 4: Simplify right side
    22,582.32x = 389,669,173.64
  5. Step 5: Solve for x
    x = 389,669,173.64/22,582.32
  6. Step 6: Final answer
    x = 17,255.50

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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.