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Finding the Fourth Proportional to 23,622.70, 32,601.65 and 17,644

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Solution

The fourth proportional to 23,622.70, 32,601.65 and 17,644 is: 24,350.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,622.70 : 32,601.65 = 17,644 : x
  2. Step 2: Convert to fraction form
    23,622.70/32,601.65 = 17,644/x
  3. Step 3: Cross multiply
    23,622.70x = 32,601.65 × 17,644
  4. Step 4: Simplify right side
    23,622.70x = 575,223,512.60
  5. Step 5: Solve for x
    x = 575,223,512.60/23,622.70
  6. Step 6: Final answer
    x = 24,350.46

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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.