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Finding the Fourth Proportional to 21,466.42, 32,203.59 and 6,674.38

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Solution

The fourth proportional to 21,466.42, 32,203.59 and 6,674.38 is: 10,012.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,466.42 : 32,203.59 = 6,674.38 : x
  2. Step 2: Convert to fraction form
    21,466.42/32,203.59 = 6,674.38/x
  3. Step 3: Cross multiply
    21,466.42x = 32,203.59 × 6,674.38
  4. Step 4: Simplify right side
    21,466.42x = 214,938,997.02
  5. Step 5: Solve for x
    x = 214,938,997.02/21,466.42
  6. Step 6: Final answer
    x = 10,012.80

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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.