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Finding the Fourth Proportional to 21,450.38, 32,174 and 6,658.90

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Solution

The fourth proportional to 21,450.38, 32,174 and 6,658.90 is: 9,987.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,450.38 : 32,174 = 6,658.90 : x
  2. Step 2: Convert to fraction form
    21,450.38/32,174 = 6,658.90/x
  3. Step 3: Cross multiply
    21,450.38x = 32,174 × 6,658.90
  4. Step 4: Simplify right side
    21,450.38x = 214,243,448.60
  5. Step 5: Solve for x
    x = 214,243,448.60/21,450.38
  6. Step 6: Final answer
    x = 9,987.86

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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.