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Finding the Fourth Proportional to 21,348, 32,022 and 6,756

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Solution

The fourth proportional to 21,348, 32,022 and 6,756 is: 10,134

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,348 : 32,022 = 6,756 : x
  2. Step 2: Convert to fraction form
    21,348/32,022 = 6,756/x
  3. Step 3: Cross multiply
    21,348x = 32,022 × 6,756
  4. Step 4: Simplify right side
    21,348x = 216,340,632
  5. Step 5: Solve for x
    x = 216,340,632/21,348
  6. Step 6: Final answer
    x = 10,134

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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.