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Finding the Fourth Proportional to 21,600.30, 32,396.94 and 8,448.06

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Solution

The fourth proportional to 21,600.30, 32,396.94 and 8,448.06 is: 12,670.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,600.30 : 32,396.94 = 8,448.06 : x
  2. Step 2: Convert to fraction form
    21,600.30/32,396.94 = 8,448.06/x
  3. Step 3: Cross multiply
    21,600.30x = 32,396.94 × 8,448.06
  4. Step 4: Simplify right side
    21,600.30x = 273,691,292.94
  5. Step 5: Solve for x
    x = 273,691,292.94/21,600.30
  6. Step 6: Final answer
    x = 12,670.72

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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.