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Finding the Fourth Proportional to 16,846.16, 23,248.36 and 9,394

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Solution

The fourth proportional to 16,846.16, 23,248.36 and 9,394 is: 12,964.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,846.16 : 23,248.36 = 9,394 : x
  2. Step 2: Convert to fraction form
    16,846.16/23,248.36 = 9,394/x
  3. Step 3: Cross multiply
    16,846.16x = 23,248.36 × 9,394
  4. Step 4: Simplify right side
    16,846.16x = 218,395,093.84
  5. Step 5: Solve for x
    x = 218,395,093.84/16,846.16
  6. Step 6: Final answer
    x = 12,964.09

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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.