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Finding the Fourth Proportional to 12,327, 17,011.68 and 6,738.36

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Solution

The fourth proportional to 12,327, 17,011.68 and 6,738.36 is: 9,299.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,327 : 17,011.68 = 6,738.36 : x
  2. Step 2: Convert to fraction form
    12,327/17,011.68 = 6,738.36/x
  3. Step 3: Cross multiply
    12,327x = 17,011.68 × 6,738.36
  4. Step 4: Simplify right side
    12,327x = 114,630,824.04
  5. Step 5: Solve for x
    x = 114,630,824.04/12,327
  6. Step 6: Final answer
    x = 9,299.17

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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.