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Finding the Fourth Proportional to 16,836, 23,234.40 and 9,384

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Solution

The fourth proportional to 16,836, 23,234.40 and 9,384 is: 12,950.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,836 : 23,234.40 = 9,384 : x
  2. Step 2: Convert to fraction form
    16,836/23,234.40 = 9,384/x
  3. Step 3: Cross multiply
    16,836x = 23,234.40 × 9,384
  4. Step 4: Simplify right side
    16,836x = 218,031,609.60
  5. Step 5: Solve for x
    x = 218,031,609.60/16,836
  6. Step 6: Final answer
    x = 12,950.32

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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.