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Finding the Fourth Proportional to 21,121.35, 29,113.90 and 16,638

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Solution

The fourth proportional to 21,121.35, 29,113.90 and 16,638 is: 22,934.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,121.35 : 29,113.90 = 16,638 : x
  2. Step 2: Convert to fraction form
    21,121.35/29,113.90 = 16,638/x
  3. Step 3: Cross multiply
    21,121.35x = 29,113.90 × 16,638
  4. Step 4: Simplify right side
    21,121.35x = 484,397,068.20
  5. Step 5: Solve for x
    x = 484,397,068.20/21,121.35
  6. Step 6: Final answer
    x = 22,934.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.