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Finding the Fourth Proportional to 22,314, 33,467.34 and 7,522.58

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Solution

The fourth proportional to 22,314, 33,467.34 and 7,522.58 is: 11,282.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,314 : 33,467.34 = 7,522.58 : x
  2. Step 2: Convert to fraction form
    22,314/33,467.34 = 7,522.58/x
  3. Step 3: Cross multiply
    22,314x = 33,467.34 × 7,522.58
  4. Step 4: Simplify right side
    22,314x = 251,760,742.54
  5. Step 5: Solve for x
    x = 251,760,742.54/22,314
  6. Step 6: Final answer
    x = 11,282.64

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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.