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Finding the Fourth Proportional to 21,648, 29,874.24 and 12,216.36

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Solution

The fourth proportional to 21,648, 29,874.24 and 12,216.36 is: 16,858.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,648 : 29,874.24 = 12,216.36 : x
  2. Step 2: Convert to fraction form
    21,648/29,874.24 = 12,216.36/x
  3. Step 3: Cross multiply
    21,648x = 29,874.24 × 12,216.36
  4. Step 4: Simplify right side
    21,648x = 364,954,470.57
  5. Step 5: Solve for x
    x = 364,954,470.57/21,648
  6. Step 6: Final answer
    x = 16,858.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.