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Finding the Fourth Proportional to 17,797.71, 24,558.68 and 9,838.83

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Solution

The fourth proportional to 17,797.71, 24,558.68 and 9,838.83 is: 13,576.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,797.71 : 24,558.68 = 9,838.83 : x
  2. Step 2: Convert to fraction form
    17,797.71/24,558.68 = 9,838.83/x
  3. Step 3: Cross multiply
    17,797.71x = 24,558.68 × 9,838.83
  4. Step 4: Simplify right side
    17,797.71x = 241,628,628.35
  5. Step 5: Solve for x
    x = 241,628,628.35/17,797.71
  6. Step 6: Final answer
    x = 13,576.39

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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.