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Finding the Fourth Proportional to 16,653, 22,982.82 and 9,201

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Solution

The fourth proportional to 16,653, 22,982.82 and 9,201 is: 12,698.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,653 : 22,982.82 = 9,201 : x
  2. Step 2: Convert to fraction form
    16,653/22,982.82 = 9,201/x
  3. Step 3: Cross multiply
    16,653x = 22,982.82 × 9,201
  4. Step 4: Simplify right side
    16,653x = 211,464,926.82
  5. Step 5: Solve for x
    x = 211,464,926.82/16,653
  6. Step 6: Final answer
    x = 12,698.31

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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.