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Finding the Fourth Proportional to 21,771.72, 32,648.22 and 6,975.72

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Solution

The fourth proportional to 21,771.72, 32,648.22 and 6,975.72 is: 10,460.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,771.72 : 32,648.22 = 6,975.72 : x
  2. Step 2: Convert to fraction form
    21,771.72/32,648.22 = 6,975.72/x
  3. Step 3: Cross multiply
    21,771.72x = 32,648.22 × 6,975.72
  4. Step 4: Simplify right side
    21,771.72x = 227,744,841.22
  5. Step 5: Solve for x
    x = 227,744,841.22/21,771.72
  6. Step 6: Final answer
    x = 10,460.58

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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.