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Finding the Fourth Proportional to 21,644.96, 32,470.67 and 7,606.64

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Solution

The fourth proportional to 21,644.96, 32,470.67 and 7,606.64 is: 11,411.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,644.96 : 32,470.67 = 7,606.64 : x
  2. Step 2: Convert to fraction form
    21,644.96/32,470.67 = 7,606.64/x
  3. Step 3: Cross multiply
    21,644.96x = 32,470.67 × 7,606.64
  4. Step 4: Simplify right side
    21,644.96x = 246,992,797.44
  5. Step 5: Solve for x
    x = 246,992,797.44/21,644.96
  6. Step 6: Final answer
    x = 11,411.10

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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.