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Finding the Fourth Proportional to 21,122.85, 29,116.04 and 16,639.50

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Solution

The fourth proportional to 21,122.85, 29,116.04 and 16,639.50 is: 22,936.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,122.85 : 29,116.04 = 16,639.50 : x
  2. Step 2: Convert to fraction form
    21,122.85/29,116.04 = 16,639.50/x
  3. Step 3: Cross multiply
    21,122.85x = 29,116.04 × 16,639.50
  4. Step 4: Simplify right side
    21,122.85x = 484,476,264.38
  5. Step 5: Solve for x
    x = 484,476,264.38/21,122.85
  6. Step 6: Final answer
    x = 22,936.12

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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.