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Finding the Fourth Proportional to 17,624, 26,436 and 6,680

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Solution

The fourth proportional to 17,624, 26,436 and 6,680 is: 10,020

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,624 : 26,436 = 6,680 : x
  2. Step 2: Convert to fraction form
    17,624/26,436 = 6,680/x
  3. Step 3: Cross multiply
    17,624x = 26,436 × 6,680
  4. Step 4: Simplify right side
    17,624x = 176,592,480
  5. Step 5: Solve for x
    x = 176,592,480/17,624
  6. Step 6: Final answer
    x = 10,020

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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.