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Finding the Fourth Proportional to 20,176, 30,264 and 5,584

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Solution

The fourth proportional to 20,176, 30,264 and 5,584 is: 8,376

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,176 : 30,264 = 5,584 : x
  2. Step 2: Convert to fraction form
    20,176/30,264 = 5,584/x
  3. Step 3: Cross multiply
    20,176x = 30,264 × 5,584
  4. Step 4: Simplify right side
    20,176x = 168,994,176
  5. Step 5: Solve for x
    x = 168,994,176/20,176
  6. Step 6: Final answer
    x = 8,376

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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.