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Finding the Fourth Proportional to 16,524.90, 24,787.40 and 11,616.50

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Solution

The fourth proportional to 16,524.90, 24,787.40 and 11,616.50 is: 17,424.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,524.90 : 24,787.40 = 11,616.50 : x
  2. Step 2: Convert to fraction form
    16,524.90/24,787.40 = 11,616.50/x
  3. Step 3: Cross multiply
    16,524.90x = 24,787.40 × 11,616.50
  4. Step 4: Simplify right side
    16,524.90x = 287,942,832.10
  5. Step 5: Solve for x
    x = 287,942,832.10/16,524.90
  6. Step 6: Final answer
    x = 17,424.79

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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.