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Finding the Fourth Proportional to 21,645.54, 32,469.53 and 6,064.38

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Solution

The fourth proportional to 21,645.54, 32,469.53 and 6,064.38 is: 9,096.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,645.54 : 32,469.53 = 6,064.38 : x
  2. Step 2: Convert to fraction form
    21,645.54/32,469.53 = 6,064.38/x
  3. Step 3: Cross multiply
    21,645.54x = 32,469.53 × 6,064.38
  4. Step 4: Simplify right side
    21,645.54x = 196,907,568.34
  5. Step 5: Solve for x
    x = 196,907,568.34/21,645.54
  6. Step 6: Final answer
    x = 9,096.91

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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.