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Finding the Fourth Proportional to 23,204, 34,776.80 and 16,643

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Solution

The fourth proportional to 23,204, 34,776.80 and 16,643 is: 24,943.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,204 : 34,776.80 = 16,643 : x
  2. Step 2: Convert to fraction form
    23,204/34,776.80 = 16,643/x
  3. Step 3: Cross multiply
    23,204x = 34,776.80 × 16,643
  4. Step 4: Simplify right side
    23,204x = 578,790,282.40
  5. Step 5: Solve for x
    x = 578,790,282.40/23,204
  6. Step 6: Final answer
    x = 24,943.56

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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.