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Finding the Fourth Proportional to 16,544.25, 24,817.59 and 6,156

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Solution

The fourth proportional to 16,544.25, 24,817.59 and 6,156 is: 9,234.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,544.25 : 24,817.59 = 6,156 : x
  2. Step 2: Convert to fraction form
    16,544.25/24,817.59 = 6,156/x
  3. Step 3: Cross multiply
    16,544.25x = 24,817.59 × 6,156
  4. Step 4: Simplify right side
    16,544.25x = 152,777,084.04
  5. Step 5: Solve for x
    x = 152,777,084.04/16,544.25
  6. Step 6: Final answer
    x = 9,234.45

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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.