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Finding the Fourth Proportional to 20,640.64, 30,972.28 and 8,953.92

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Solution

The fourth proportional to 20,640.64, 30,972.28 and 8,953.92 is: 13,435.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,640.64 : 30,972.28 = 8,953.92 : x
  2. Step 2: Convert to fraction form
    20,640.64/30,972.28 = 8,953.92/x
  3. Step 3: Cross multiply
    20,640.64x = 30,972.28 × 8,953.92
  4. Step 4: Simplify right side
    20,640.64x = 277,323,317.34
  5. Step 5: Solve for x
    x = 277,323,317.34/20,640.64
  6. Step 6: Final answer
    x = 13,435.79

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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.