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Finding the Fourth Proportional to 21,464.67, 32,200.97 and 6,672.63

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Solution

The fourth proportional to 21,464.67, 32,200.97 and 6,672.63 is: 10,010.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,464.67 : 32,200.97 = 6,672.63 : x
  2. Step 2: Convert to fraction form
    21,464.67/32,200.97 = 6,672.63/x
  3. Step 3: Cross multiply
    21,464.67x = 32,200.97 × 6,672.63
  4. Step 4: Simplify right side
    21,464.67x = 214,865,158.45
  5. Step 5: Solve for x
    x = 214,865,158.45/21,464.67
  6. Step 6: Final answer
    x = 10,010.18

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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.