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Finding the Fourth Proportional to 12,336, 17,024.09 and 6,747

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Solution

The fourth proportional to 12,336, 17,024.09 and 6,747 is: 9,311.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,336 : 17,024.09 = 6,747 : x
  2. Step 2: Convert to fraction form
    12,336/17,024.09 = 6,747/x
  3. Step 3: Cross multiply
    12,336x = 17,024.09 × 6,747
  4. Step 4: Simplify right side
    12,336x = 114,861,501.50
  5. Step 5: Solve for x
    x = 114,861,501.50/12,336
  6. Step 6: Final answer
    x = 9,311.08

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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.