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Finding the Fourth Proportional to 25,622.40, 38,433.60 and 22,166.40

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Solution

The fourth proportional to 25,622.40, 38,433.60 and 22,166.40 is: 33,249.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,622.40 : 38,433.60 = 22,166.40 : x
  2. Step 2: Convert to fraction form
    25,622.40/38,433.60 = 22,166.40/x
  3. Step 3: Cross multiply
    25,622.40x = 38,433.60 × 22,166.40
  4. Step 4: Simplify right side
    25,622.40x = 851,934,551.04
  5. Step 5: Solve for x
    x = 851,934,551.04/25,622.40
  6. Step 6: Final answer
    x = 33,249.60

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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.