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Finding the Fourth Proportional to 16,634.84, 24,944.94 and 6,239.30

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Solution

The fourth proportional to 16,634.84, 24,944.94 and 6,239.30 is: 9,356.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,634.84 : 24,944.94 = 6,239.30 : x
  2. Step 2: Convert to fraction form
    16,634.84/24,944.94 = 6,239.30/x
  3. Step 3: Cross multiply
    16,634.84x = 24,944.94 × 6,239.30
  4. Step 4: Simplify right side
    16,634.84x = 155,638,964.14
  5. Step 5: Solve for x
    x = 155,638,964.14/16,634.84
  6. Step 6: Final answer
    x = 9,356.20

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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.