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Finding the Fourth Proportional to 17,535.28, 24,205.40 and 10,822

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Solution

The fourth proportional to 17,535.28, 24,205.40 and 10,822 is: 14,938.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,535.28 : 24,205.40 = 10,822 : x
  2. Step 2: Convert to fraction form
    17,535.28/24,205.40 = 10,822/x
  3. Step 3: Cross multiply
    17,535.28x = 24,205.40 × 10,822
  4. Step 4: Simplify right side
    17,535.28x = 261,950,838.80
  5. Step 5: Solve for x
    x = 261,950,838.80/17,535.28
  6. Step 6: Final answer
    x = 14,938.50

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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.