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Finding the Fourth Proportional to 22,467.78, 33,706.53 and 6,885

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Solution

The fourth proportional to 22,467.78, 33,706.53 and 6,885 is: 10,328.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,467.78 : 33,706.53 = 6,885 : x
  2. Step 2: Convert to fraction form
    22,467.78/33,706.53 = 6,885/x
  3. Step 3: Cross multiply
    22,467.78x = 33,706.53 × 6,885
  4. Step 4: Simplify right side
    22,467.78x = 232,069,459.05
  5. Step 5: Solve for x
    x = 232,069,459.05/22,467.78
  6. Step 6: Final answer
    x = 10,328.99

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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.