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Finding the Fourth Proportional to 24,156, 36,234 and 7,740

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Solution

The fourth proportional to 24,156, 36,234 and 7,740 is: 11,610

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,156 : 36,234 = 7,740 : x
  2. Step 2: Convert to fraction form
    24,156/36,234 = 7,740/x
  3. Step 3: Cross multiply
    24,156x = 36,234 × 7,740
  4. Step 4: Simplify right side
    24,156x = 280,451,160
  5. Step 5: Solve for x
    x = 280,451,160/24,156
  6. Step 6: Final answer
    x = 11,610

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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.