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Finding the Fourth Proportional to 16,522, 24,786.24 and 7,288

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Solution

The fourth proportional to 16,522, 24,786.24 and 7,288 is: 10,933.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,522 : 24,786.24 = 7,288 : x
  2. Step 2: Convert to fraction form
    16,522/24,786.24 = 7,288/x
  3. Step 3: Cross multiply
    16,522x = 24,786.24 × 7,288
  4. Step 4: Simplify right side
    16,522x = 180,642,117.12
  5. Step 5: Solve for x
    x = 180,642,117.12/16,522
  6. Step 6: Final answer
    x = 10,933.43

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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.