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Finding the Fourth Proportional to 21,218, 29,280.86 and 11,787.44

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Solution

The fourth proportional to 21,218, 29,280.86 and 11,787.44 is: 16,266.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,218 : 29,280.86 = 11,787.44 : x
  2. Step 2: Convert to fraction form
    21,218/29,280.86 = 11,787.44/x
  3. Step 3: Cross multiply
    21,218x = 29,280.86 × 11,787.44
  4. Step 4: Simplify right side
    21,218x = 345,146,380.40
  5. Step 5: Solve for x
    x = 345,146,380.40/21,218
  6. Step 6: Final answer
    x = 16,266.68

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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.