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Finding the Fourth Proportional to 16,693, 23,036.34 and 9,241

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Solution

The fourth proportional to 16,693, 23,036.34 and 9,241 is: 12,752.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,693 : 23,036.34 = 9,241 : x
  2. Step 2: Convert to fraction form
    16,693/23,036.34 = 9,241/x
  3. Step 3: Cross multiply
    16,693x = 23,036.34 × 9,241
  4. Step 4: Simplify right side
    16,693x = 212,878,817.94
  5. Step 5: Solve for x
    x = 212,878,817.94/16,693
  6. Step 6: Final answer
    x = 12,752.58

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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.