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Finding the Fourth Proportional to 16,524.84, 24,787.08 and 6,136.56

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Solution

The fourth proportional to 16,524.84, 24,787.08 and 6,136.56 is: 9,204.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,524.84 : 24,787.08 = 6,136.56 : x
  2. Step 2: Convert to fraction form
    16,524.84/24,787.08 = 6,136.56/x
  3. Step 3: Cross multiply
    16,524.84x = 24,787.08 × 6,136.56
  4. Step 4: Simplify right side
    16,524.84x = 152,107,403.64
  5. Step 5: Solve for x
    x = 152,107,403.64/16,524.84
  6. Step 6: Final answer
    x = 9,204.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.