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Finding the Fourth Proportional to 21,771.69, 32,672.10 and 7,920.69

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Solution

The fourth proportional to 21,771.69, 32,672.10 and 7,920.69 is: 11,886.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,771.69 : 32,672.10 = 7,920.69 : x
  2. Step 2: Convert to fraction form
    21,771.69/32,672.10 = 7,920.69/x
  3. Step 3: Cross multiply
    21,771.69x = 32,672.10 × 7,920.69
  4. Step 4: Simplify right side
    21,771.69x = 258,785,575.75
  5. Step 5: Solve for x
    x = 258,785,575.75/21,771.69
  6. Step 6: Final answer
    x = 11,886.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.