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Finding the Fourth Proportional to 22,451.67, 30,984.75 and 12,894.60

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Solution

The fourth proportional to 22,451.67, 30,984.75 and 12,894.60 is: 17,795.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,451.67 : 30,984.75 = 12,894.60 : x
  2. Step 2: Convert to fraction form
    22,451.67/30,984.75 = 12,894.60/x
  3. Step 3: Cross multiply
    22,451.67x = 30,984.75 × 12,894.60
  4. Step 4: Simplify right side
    22,451.67x = 399,535,957.35
  5. Step 5: Solve for x
    x = 399,535,957.35/22,451.67
  6. Step 6: Final answer
    x = 17,795.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.