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Finding the Fourth Proportional to 22,416, 33,624 and 6,000

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Solution

The fourth proportional to 22,416, 33,624 and 6,000 is: 9,000

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,416 : 33,624 = 6,000 : x
  2. Step 2: Convert to fraction form
    22,416/33,624 = 6,000/x
  3. Step 3: Cross multiply
    22,416x = 33,624 × 6,000
  4. Step 4: Simplify right side
    22,416x = 201,744,000
  5. Step 5: Solve for x
    x = 201,744,000/22,416
  6. Step 6: Final answer
    x = 9,000

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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.